diff --git a/src/Numerics/LinearAlgebra/Complex/DenseMatrix.cs b/src/Numerics/LinearAlgebra/Complex/DenseMatrix.cs
index 4d59ec3e..6f86670d 100644
--- a/src/Numerics/LinearAlgebra/Complex/DenseMatrix.cs
+++ b/src/Numerics/LinearAlgebra/Complex/DenseMatrix.cs
@@ -1228,6 +1228,56 @@ namespace MathNet.Numerics.LinearAlgebra.Complex
             return (DenseMatrix)leftSide.Remainder(rightSide);
         }
 
+        /// <summary>
+        /// Evaluates whether this matrix is symmetric.
+        /// </summary>
+        public override bool IsSymmetric()
+        {
+            if (RowCount != ColumnCount)
+            {
+                return false;
+            }
+
+            for (var j = 0; j < ColumnCount; j++)
+            {
+                var index = j * RowCount;
+                for (var i = j + 1; i < RowCount; i++)
+                {
+                    if (_values[(i*ColumnCount) + j] != _values[index + i])
+                    {
+                        return false;
+                    }
+                }
+            }
+
+            return true;
+        }
+
+        /// <summary>
+        /// Evaluates whether this matrix is conjugate symmetric.
+        /// </summary>
+        public override bool IsConjugateSymmetric()
+        {
+            if (RowCount != ColumnCount)
+            {
+                return false;
+            }
+
+            for (var j = 0; j < ColumnCount; j++)
+            {
+                var index = j * RowCount;
+                for (var i = j + 1; i < RowCount; i++)
+                {
+                    if (_values[(i*ColumnCount) + j] != _values[index + i].Conjugate())
+                    {
+                        return false;
+                    }
+                }
+            }
+
+            return true;
+        }
+
         public override Cholesky<Complex> Cholesky()
         {
             return DenseCholesky.Create(this);
diff --git a/src/Numerics/LinearAlgebra/Complex/DiagonalMatrix.cs b/src/Numerics/LinearAlgebra/Complex/DiagonalMatrix.cs
index 84fb114d..21499a70 100644
--- a/src/Numerics/LinearAlgebra/Complex/DiagonalMatrix.cs
+++ b/src/Numerics/LinearAlgebra/Complex/DiagonalMatrix.cs
@@ -955,14 +955,19 @@ namespace MathNet.Numerics.LinearAlgebra.Complex
         }
 
         /// <summary>
-        /// Gets a value indicating whether this matrix is symmetric.
+        /// Evaluates whether this matrix is symmetric.
         /// </summary>
-        public override bool IsSymmetric
+        public override sealed bool IsSymmetric()
         {
-            get
-            {
-                return true;
-            }
+            return true;
+        }
+
+        /// <summary>
+        /// Evaluates whether this matrix is conjugate symmetric.
+        /// </summary>
+        public override sealed bool IsConjugateSymmetric()
+        {
+            return true;
         }
     }
 }
diff --git a/src/Numerics/LinearAlgebra/Complex/Matrix.cs b/src/Numerics/LinearAlgebra/Complex/Matrix.cs
index 46a1daad..e86f28db 100644
--- a/src/Numerics/LinearAlgebra/Complex/Matrix.cs
+++ b/src/Numerics/LinearAlgebra/Complex/Matrix.cs
@@ -661,6 +661,30 @@ namespace MathNet.Numerics.LinearAlgebra.Complex
             return sum;
         }
 
+        /// <summary>
+        /// Evaluates whether this matrix is conjugate symmetric.
+        /// </summary>
+        public override bool IsConjugateSymmetric()
+        {
+            if (RowCount != ColumnCount)
+            {
+                return false;
+            }
+
+            for (var row = 0; row < RowCount; row++)
+            {
+                for (var column = row + 1; column < ColumnCount; column++)
+                {
+                    if (!At(row, column).Equals(At(column, row).Conjugate()))
+                    {
+                        return false;
+                    }
+                }
+            }
+
+            return true;
+        }
+
         public override Cholesky<Complex> Cholesky()
         {
             return UserCholesky.Create(this);
diff --git a/src/Numerics/LinearAlgebra/Complex/SparseMatrix.cs b/src/Numerics/LinearAlgebra/Complex/SparseMatrix.cs
index 25e8a469..34e524f1 100644
--- a/src/Numerics/LinearAlgebra/Complex/SparseMatrix.cs
+++ b/src/Numerics/LinearAlgebra/Complex/SparseMatrix.cs
@@ -1209,58 +1209,73 @@ namespace MathNet.Numerics.LinearAlgebra.Complex
         }
 
         /// <summary>
-        /// Gets a value indicating whether this matrix is symmetric.
+        /// Evaluates whether this matrix is symmetric.
         /// </summary>
-        public override bool IsSymmetric
+        public override bool IsSymmetric()
         {
-            get
+            if (RowCount != ColumnCount)
             {
-                if (RowCount != ColumnCount)
+                return false;
+            }
+
+            var rowPointers = _storage.RowPointers;
+            var columnIndices = _storage.ColumnIndices;
+            var values = _storage.Values;
+
+            for (var row = 0; row < RowCount; row++)
+            {
+                var start = rowPointers[row];
+                var end = rowPointers[row + 1];
+
+                if (start == end)
                 {
-                    return false;
+                    continue;
                 }
 
-                // todo: we might be able to speed this up by caching one half of the matrix
-                var rowPointers = _storage.RowPointers;
-                for (var row = 0; row < RowCount; row++)
+                for (var index = start; index < end; index++)
                 {
-                    var start = rowPointers[row];
-                    var end = rowPointers[row + 1];
-
-                    if (start == end)
-                    {
-                        continue;
-                    }
-
-                    if (!CheckIfOppositesAreEqual(start, end, row))
+                    var column = columnIndices[index];
+                    if (!values[index].Equals(At(column, row)))
                     {
                         return false;
                     }
                 }
-
-                return true;
             }
+
+            return true;
         }
 
         /// <summary>
-        /// Checks if opposites in a range are equal.
+        /// Evaluates whether this matrix is conjugate symmetric.
         /// </summary>
-        /// <param name="start">The start of the range.</param>
-        /// <param name="end">The end of the range.</param>
-        /// <param name="row">The row the row to check.</param>
-        /// <returns>If the values are equal or not.</returns>
-        private bool CheckIfOppositesAreEqual(int start, int end, int row)
+        public override bool IsConjugateSymmetric()
         {
+            if (RowCount != ColumnCount)
+            {
+                return false;
+            }
+
+            var rowPointers = _storage.RowPointers;
             var columnIndices = _storage.ColumnIndices;
             var values = _storage.Values;
 
-            for (var index = start; index < end; index++)
+            for (var row = 0; row < RowCount; row++)
             {
-                var column = columnIndices[index];
-                var opposite = At(column, row);
-                if (!values[index].Equals(opposite))
+                var start = rowPointers[row];
+                var end = rowPointers[row + 1];
+
+                if (start == end)
                 {
-                    return false;
+                    continue;
+                }
+
+                for (var index = start; index < end; index++)
+                {
+                    var column = columnIndices[index];
+                    if (!values[index].Equals(At(column, row).Conjugate()))
+                    {
+                        return false;
+                    }
                 }
             }
 
diff --git a/src/Numerics/LinearAlgebra/Complex32/DenseMatrix.cs b/src/Numerics/LinearAlgebra/Complex32/DenseMatrix.cs
index 6e50b40e..cb261bd4 100644
--- a/src/Numerics/LinearAlgebra/Complex32/DenseMatrix.cs
+++ b/src/Numerics/LinearAlgebra/Complex32/DenseMatrix.cs
@@ -1225,6 +1225,56 @@ namespace MathNet.Numerics.LinearAlgebra.Complex32
             return (DenseMatrix)leftSide.Remainder(rightSide);
         }
 
+        /// <summary>
+        /// Evaluates whether this matrix is symmetric.
+        /// </summary>
+        public override bool IsSymmetric()
+        {
+            if (RowCount != ColumnCount)
+            {
+                return false;
+            }
+
+            for (var j = 0; j < ColumnCount; j++)
+            {
+                var index = j * RowCount;
+                for (var i = j + 1; i < RowCount; i++)
+                {
+                    if (_values[(i*ColumnCount) + j] != _values[index + i])
+                    {
+                        return false;
+                    }
+                }
+            }
+
+            return true;
+        }
+
+        /// <summary>
+        /// Evaluates whether this matrix is conjugate symmetric.
+        /// </summary>
+        public override bool IsConjugateSymmetric()
+        {
+            if (RowCount != ColumnCount)
+            {
+                return false;
+            }
+
+            for (var j = 0; j < ColumnCount; j++)
+            {
+                var index = j * RowCount;
+                for (var i = j + 1; i < RowCount; i++)
+                {
+                    if (_values[(i*ColumnCount) + j] != _values[index + i].Conjugate())
+                    {
+                        return false;
+                    }
+                }
+            }
+
+            return true;
+        }
+
         public override Cholesky<Complex32> Cholesky()
         {
             return DenseCholesky.Create(this);
diff --git a/src/Numerics/LinearAlgebra/Complex32/DiagonalMatrix.cs b/src/Numerics/LinearAlgebra/Complex32/DiagonalMatrix.cs
index 6aa3b62a..0e360fac 100644
--- a/src/Numerics/LinearAlgebra/Complex32/DiagonalMatrix.cs
+++ b/src/Numerics/LinearAlgebra/Complex32/DiagonalMatrix.cs
@@ -949,14 +949,19 @@ namespace MathNet.Numerics.LinearAlgebra.Complex32
         }
 
         /// <summary>
-        /// Gets a value indicating whether this matrix is symmetric.
+        /// Evaluates whether this matrix is symmetric.
         /// </summary>
-        public override bool IsSymmetric
+        public override sealed bool IsSymmetric()
         {
-            get
-            {
-                return true;
-            }
+            return true;
+        }
+
+        /// <summary>
+        /// Evaluates whether this matrix is conjugate symmetric.
+        /// </summary>
+        public override sealed bool IsConjugateSymmetric()
+        {
+            return true;
         }
     }
 }
diff --git a/src/Numerics/LinearAlgebra/Complex32/Matrix.cs b/src/Numerics/LinearAlgebra/Complex32/Matrix.cs
index 7bd2179d..4119d872 100644
--- a/src/Numerics/LinearAlgebra/Complex32/Matrix.cs
+++ b/src/Numerics/LinearAlgebra/Complex32/Matrix.cs
@@ -655,6 +655,30 @@ namespace MathNet.Numerics.LinearAlgebra.Complex32
             return sum;
         }
 
+        /// <summary>
+        /// Evaluates whether this matrix is conjugate symmetric.
+        /// </summary>
+        public override bool IsConjugateSymmetric()
+        {
+            if (RowCount != ColumnCount)
+            {
+                return false;
+            }
+
+            for (var row = 0; row < RowCount; row++)
+            {
+                for (var column = row + 1; column < ColumnCount; column++)
+                {
+                    if (!At(row, column).Equals(At(column, row).Conjugate()))
+                    {
+                        return false;
+                    }
+                }
+            }
+
+            return true;
+        }
+
         public override Cholesky<Complex32> Cholesky()
         {
             return UserCholesky.Create(this);
diff --git a/src/Numerics/LinearAlgebra/Complex32/SparseMatrix.cs b/src/Numerics/LinearAlgebra/Complex32/SparseMatrix.cs
index 1d959ca7..0bb049d7 100644
--- a/src/Numerics/LinearAlgebra/Complex32/SparseMatrix.cs
+++ b/src/Numerics/LinearAlgebra/Complex32/SparseMatrix.cs
@@ -1203,58 +1203,73 @@ namespace MathNet.Numerics.LinearAlgebra.Complex32
         }
 
         /// <summary>
-        /// Gets a value indicating whether this matrix is symmetric.
+        /// Evaluates whether this matrix is symmetric.
         /// </summary>
-        public override bool IsSymmetric
+        public override bool IsSymmetric()
         {
-            get
+            if (RowCount != ColumnCount)
             {
-                if (RowCount != ColumnCount)
+                return false;
+            }
+
+            var rowPointers = _storage.RowPointers;
+            var columnIndices = _storage.ColumnIndices;
+            var values = _storage.Values;
+
+            for (var row = 0; row < RowCount; row++)
+            {
+                var start = rowPointers[row];
+                var end = rowPointers[row + 1];
+
+                if (start == end)
                 {
-                    return false;
+                    continue;
                 }
 
-                // todo: we might be able to speed this up by caching one half of the matrix
-                var rowPointers = _storage.RowPointers;
-                for (var row = 0; row < RowCount; row++)
+                for (var index = start; index < end; index++)
                 {
-                    var start = rowPointers[row];
-                    var end = rowPointers[row + 1];
-
-                    if (start == end)
-                    {
-                        continue;
-                    }
-
-                    if (!CheckIfOppositesAreEqual(start, end, row))
+                    var column = columnIndices[index];
+                    if (!values[index].Equals(At(column, row)))
                     {
                         return false;
                     }
                 }
-
-                return true;
             }
+
+            return true;
         }
 
         /// <summary>
-        /// Checks if opposites in a range are equal.
+        /// Evaluates whether this matrix is conjugate symmetric.
         /// </summary>
-        /// <param name="start">The start of the range.</param>
-        /// <param name="end">The end of the range.</param>
-        /// <param name="row">The row the row to check.</param>
-        /// <returns>If the values are equal or not.</returns>
-        private bool CheckIfOppositesAreEqual(int start, int end, int row)
+        public override bool IsConjugateSymmetric()
         {
+            if (RowCount != ColumnCount)
+            {
+                return false;
+            }
+
+            var rowPointers = _storage.RowPointers;
             var columnIndices = _storage.ColumnIndices;
             var values = _storage.Values;
 
-            for (var index = start; index < end; index++)
+            for (var row = 0; row < RowCount; row++)
             {
-                var column = columnIndices[index];
-                var opposite = At(column, row);
-                if (!values[index].Equals(opposite))
+                var start = rowPointers[row];
+                var end = rowPointers[row + 1];
+
+                if (start == end)
                 {
-                    return false;
+                    continue;
+                }
+
+                for (var index = start; index < end; index++)
+                {
+                    var column = columnIndices[index];
+                    if (!values[index].Equals(At(column, row).Conjugate()))
+                    {
+                        return false;
+                    }
                 }
             }
 
diff --git a/src/Numerics/LinearAlgebra/Double/DenseMatrix.cs b/src/Numerics/LinearAlgebra/Double/DenseMatrix.cs
index c433b597..bb9e12d2 100644
--- a/src/Numerics/LinearAlgebra/Double/DenseMatrix.cs
+++ b/src/Numerics/LinearAlgebra/Double/DenseMatrix.cs
@@ -1180,6 +1180,31 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             return (DenseMatrix)leftSide.Remainder(rightSide);
         }
 
+        /// <summary>
+        /// Evaluates whether this matrix is symmetric.
+        /// </summary>
+        public override bool IsSymmetric()
+        {
+            if (RowCount != ColumnCount)
+            {
+                return false;
+            }
+
+            for (var j = 0; j < ColumnCount; j++)
+            {
+                var index = j * RowCount;
+                for (var i = j + 1; i < RowCount; i++)
+                {
+                    if (_values[(i*ColumnCount) + j] != _values[index + i])
+                    {
+                        return false;
+                    }
+                }
+            }
+
+            return true;
+        }
+
         public override Cholesky<double> Cholesky()
         {
             return DenseCholesky.Create(this);
diff --git a/src/Numerics/LinearAlgebra/Double/DiagonalMatrix.cs b/src/Numerics/LinearAlgebra/Double/DiagonalMatrix.cs
index bed0524a..052bf3f7 100644
--- a/src/Numerics/LinearAlgebra/Double/DiagonalMatrix.cs
+++ b/src/Numerics/LinearAlgebra/Double/DiagonalMatrix.cs
@@ -799,14 +799,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         }
 
         /// <summary>
-        /// Gets a value indicating whether this matrix is symmetric.
+        /// Evaluates whether this matrix is symmetric.
         /// </summary>
-        public override bool IsSymmetric
+        public override sealed bool IsSymmetric()
         {
-            get
-            {
-                return true;
-            }
+            return true;
         }
 
         /// <summary>
diff --git a/src/Numerics/LinearAlgebra/Double/Matrix.cs b/src/Numerics/LinearAlgebra/Double/Matrix.cs
index 2285e5bc..7ba8f7e6 100644
--- a/src/Numerics/LinearAlgebra/Double/Matrix.cs
+++ b/src/Numerics/LinearAlgebra/Double/Matrix.cs
@@ -656,6 +656,14 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             return sum;
         }
 
+        /// <summary>
+        /// Evaluates whether this matrix is conjugate symmetric.
+        /// </summary>
+        public override sealed bool IsConjugateSymmetric()
+        {
+            return IsSymmetric();
+        }
+
         public override Cholesky<double> Cholesky()
         {
             return UserCholesky.Create(this);
diff --git a/src/Numerics/LinearAlgebra/Double/SparseMatrix.cs b/src/Numerics/LinearAlgebra/Double/SparseMatrix.cs
index 550f8eab..eb2cbdb1 100644
--- a/src/Numerics/LinearAlgebra/Double/SparseMatrix.cs
+++ b/src/Numerics/LinearAlgebra/Double/SparseMatrix.cs
@@ -1256,58 +1256,36 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         }
 
         /// <summary>
-        /// Gets a value indicating whether this matrix is symmetric.
+        /// Evaluates whether this matrix is symmetric.
         /// </summary>
-        public override bool IsSymmetric
+        public override bool IsSymmetric()
         {
-            get
+            if (RowCount != ColumnCount)
             {
-                if (RowCount != ColumnCount)
-                {
-                    return false;
-                }
-
-                // todo: we might be able to speed this up by caching one half of the matrix
-                var rowPointers = _storage.RowPointers;
-                for (var row = 0; row < RowCount; row++)
-                {
-                    var start = rowPointers[row];
-                    var end = rowPointers[row + 1];
-
-                    if (start == end)
-                    {
-                        continue;
-                    }
-
-                    if (!CheckIfOppositesAreEqual(start, end, row))
-                    {
-                        return false;
-                    }
-                }
-
-                return true;
+                return false;
             }
-        }
 
-        /// <summary>
-        /// Checks if opposites in a range are equal.
-        /// </summary>
-        /// <param name="start">The start of the range.</param>
-        /// <param name="end">The end of the range.</param>
-        /// <param name="row">The row the row to check.</param>
-        /// <returns>If the values are equal or not.</returns>
-        private bool CheckIfOppositesAreEqual(int start, int end, int row)
-        {
+            var rowPointers = _storage.RowPointers;
             var columnIndices = _storage.ColumnIndices;
             var values = _storage.Values;
 
-            for (var index = start; index < end; index++)
+            for (var row = 0; row < RowCount; row++)
             {
-                var column = columnIndices[index];
-                var opposite = At(column, row);
-                if (!values[index].Equals(opposite))
+                var start = rowPointers[row];
+                var end = rowPointers[row + 1];
+
+                if (start == end)
+                {
+                    continue;
+                }
+
+                for (var index = start; index < end; index++)
                 {
-                    return false;
+                    var column = columnIndices[index];
+                    if (!values[index].Equals(At(column, row)))
+                    {
+                        return false;
+                    }
                 }
             }
 
diff --git a/src/Numerics/LinearAlgebra/Matrix.cs b/src/Numerics/LinearAlgebra/Matrix.cs
index 96ffa61b..680d83e4 100644
--- a/src/Numerics/LinearAlgebra/Matrix.cs
+++ b/src/Numerics/LinearAlgebra/Matrix.cs
@@ -1268,32 +1268,34 @@ namespace MathNet.Numerics.LinearAlgebra
         }
 
         /// <summary>
-        /// Gets a value indicating whether this matrix is symmetric.
+        /// Evaluates whether this matrix is symmetric.
         /// </summary>
-        public virtual bool IsSymmetric
+        public virtual bool IsSymmetric()
         {
-            get
+            if (RowCount != ColumnCount)
             {
-                if (RowCount != ColumnCount)
-                {
-                    return false;
-                }
+                return false;
+            }
 
-                for (var row = 0; row < RowCount; row++)
+            for (var row = 0; row < RowCount; row++)
+            {
+                for (var column = row + 1; column < ColumnCount; column++)
                 {
-                    for (var column = row + 1; column < ColumnCount; column++)
+                    if (!At(row, column).Equals(At(column, row)))
                     {
-                        if (!At(row, column).Equals(At(column, row)))
-                        {
-                            return false;
-                        }
+                        return false;
                     }
                 }
-
-                return true;
             }
+
+            return true;
         }
 
+        /// <summary>
+        /// Evaluates whether this matrix is conjugate symmetric.
+        /// </summary>
+        public abstract bool IsConjugateSymmetric();
+
         /// <summary>
         /// Returns this matrix as a multidimensional array.
         /// </summary>
diff --git a/src/Numerics/LinearAlgebra/Single/DenseMatrix.cs b/src/Numerics/LinearAlgebra/Single/DenseMatrix.cs
index 49830598..6d61b1e9 100644
--- a/src/Numerics/LinearAlgebra/Single/DenseMatrix.cs
+++ b/src/Numerics/LinearAlgebra/Single/DenseMatrix.cs
@@ -1180,6 +1180,31 @@ namespace MathNet.Numerics.LinearAlgebra.Single
             return (DenseMatrix)leftSide.Remainder(rightSide);
         }
 
+        /// <summary>
+        /// Evaluates whether this matrix is symmetric.
+        /// </summary>
+        public override bool IsSymmetric()
+        {
+            if (RowCount != ColumnCount)
+            {
+                return false;
+            }
+
+            for (var j = 0; j < ColumnCount; j++)
+            {
+                var index = j * RowCount;
+                for (var i = j + 1; i < RowCount; i++)
+                {
+                    if (_values[(i*ColumnCount) + j] != _values[index + i])
+                    {
+                        return false;
+                    }
+                }
+            }
+
+            return true;
+        }
+
         public override Cholesky<float> Cholesky()
         {
             return DenseCholesky.Create(this);
diff --git a/src/Numerics/LinearAlgebra/Single/DiagonalMatrix.cs b/src/Numerics/LinearAlgebra/Single/DiagonalMatrix.cs
index 7b07623c..8d3ddc46 100644
--- a/src/Numerics/LinearAlgebra/Single/DiagonalMatrix.cs
+++ b/src/Numerics/LinearAlgebra/Single/DiagonalMatrix.cs
@@ -799,14 +799,11 @@ namespace MathNet.Numerics.LinearAlgebra.Single
         }
 
         /// <summary>
-        /// Gets a value indicating whether this matrix is symmetric.
+        /// Evaluates whether this matrix is symmetric.
         /// </summary>
-        public override bool IsSymmetric
+        public override sealed bool IsSymmetric()
         {
-            get
-            {
-                return true;
-            }
+            return true;
         }
 
         /// <summary>
diff --git a/src/Numerics/LinearAlgebra/Single/Matrix.cs b/src/Numerics/LinearAlgebra/Single/Matrix.cs
index ee0f66ea..349ad3c9 100644
--- a/src/Numerics/LinearAlgebra/Single/Matrix.cs
+++ b/src/Numerics/LinearAlgebra/Single/Matrix.cs
@@ -656,6 +656,14 @@ namespace MathNet.Numerics.LinearAlgebra.Single
             return sum;
         }
 
+        /// <summary>
+        /// Evaluates whether this matrix is conjugate symmetric.
+        /// </summary>
+        public override sealed bool IsConjugateSymmetric()
+        {
+            return IsSymmetric();
+        }
+
         public override Cholesky<float> Cholesky()
         {
             return UserCholesky.Create(this);
diff --git a/src/Numerics/LinearAlgebra/Single/SparseMatrix.cs b/src/Numerics/LinearAlgebra/Single/SparseMatrix.cs
index a7e1d560..615f63f5 100644
--- a/src/Numerics/LinearAlgebra/Single/SparseMatrix.cs
+++ b/src/Numerics/LinearAlgebra/Single/SparseMatrix.cs
@@ -1261,58 +1261,38 @@ namespace MathNet.Numerics.LinearAlgebra.Single
         }
 
         /// <summary>
-        /// Gets a value indicating whether this matrix is symmetric.
+        /// Evaluates whether this matrix is symmetric.
         /// </summary>
-        public override bool IsSymmetric
+        public override bool IsSymmetric()
         {
-            get
+            if (RowCount != ColumnCount)
             {
-                if (RowCount != ColumnCount)
-                {
-                    return false;
-                }
-
-                // todo: we might be able to speed this up by caching one half of the matrix
-                var rowPointers = _storage.RowPointers;
-                for (var row = 0; row < RowCount; row++)
-                {
-                    var start = rowPointers[row];
-                    var end = rowPointers[row + 1];
-
-                    if (start == end)
-                    {
-                        continue;
-                    }
-
-                    if (!CheckIfOppositesAreEqual(start, end, row))
-                    {
-                        return false;
-                    }
-                }
-
-                return true;
+                return false;
             }
-        }
 
-        /// <summary>
-        /// Checks if opposites in a range are equal.
-        /// </summary>
-        /// <param name="start">The start of the range.</param>
-        /// <param name="end">The end of the range.</param>
-        /// <param name="row">The row the row to check.</param>
-        /// <returns>If the values are equal or not.</returns>
-        private bool CheckIfOppositesAreEqual(int start, int end, int row)
-        {
+            // todo: we might be able to speed this up by caching one half of the matrix
+            var rowPointers = _storage.RowPointers;
             var columnIndices = _storage.ColumnIndices;
             var values = _storage.Values;
 
-            for (var index = start; index < end; index++)
+            for (var row = 0; row < RowCount; row++)
             {
-                var column = columnIndices[index];
-                var opposite = At(column, row);
-                if (!values[index].Equals(opposite))
+                var start = rowPointers[row];
+                var end = rowPointers[row + 1];
+
+                if (start == end)
+                {
+                    continue;
+                }
+
+                for (var index = start; index < end; index++)
                 {
-                    return false;
+                    var column = columnIndices[index];
+                    var opposite = At(column, row);
+                    if (!values[index].Equals(opposite))
+                    {
+                        return false;
+                    }
                 }
             }
 
diff --git a/src/UnitTests/LinearAlgebraTests/Complex/DiagonalMatrixTests.cs b/src/UnitTests/LinearAlgebraTests/Complex/DiagonalMatrixTests.cs
index 6f0d0c5c..412d1cca 100644
--- a/src/UnitTests/LinearAlgebraTests/Complex/DiagonalMatrixTests.cs
+++ b/src/UnitTests/LinearAlgebraTests/Complex/DiagonalMatrixTests.cs
@@ -362,7 +362,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Complex
         public override void CanCheckIfMatrixIsSymmetric()
         {
             var matrix = TestMatrices["Square3x3"];
-            Assert.IsTrue(matrix.IsSymmetric);
+            Assert.IsTrue(matrix.IsSymmetric());
         }
 
         [Test]
diff --git a/src/UnitTests/LinearAlgebraTests/Complex/MatrixTests.cs b/src/UnitTests/LinearAlgebraTests/Complex/MatrixTests.cs
index 1161c4a1..7eb85392 100644
--- a/src/UnitTests/LinearAlgebraTests/Complex/MatrixTests.cs
+++ b/src/UnitTests/LinearAlgebraTests/Complex/MatrixTests.cs
@@ -156,10 +156,10 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Complex
         public virtual void CanCheckIfMatrixIsSymmetric()
         {
             var matrix = TestMatrices["Symmetric3x3"];
-            Assert.IsTrue(matrix.IsSymmetric);
+            Assert.IsTrue(matrix.IsSymmetric());
 
             matrix = TestMatrices["Square3x3"];
-            Assert.IsFalse(matrix.IsSymmetric);
+            Assert.IsFalse(matrix.IsSymmetric());
         }
     }
 }
diff --git a/src/UnitTests/LinearAlgebraTests/Complex32/DiagonalMatrixTests.cs b/src/UnitTests/LinearAlgebraTests/Complex32/DiagonalMatrixTests.cs
index bffa92cc..8381efbc 100644
--- a/src/UnitTests/LinearAlgebraTests/Complex32/DiagonalMatrixTests.cs
+++ b/src/UnitTests/LinearAlgebraTests/Complex32/DiagonalMatrixTests.cs
@@ -358,7 +358,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Complex32
         public override void CanCheckIfMatrixIsSymmetric()
         {
             var matrix = TestMatrices["Square3x3"];
-            Assert.IsTrue(matrix.IsSymmetric);
+            Assert.IsTrue(matrix.IsSymmetric());
         }
 
         [Test]
diff --git a/src/UnitTests/LinearAlgebraTests/Complex32/MatrixTests.cs b/src/UnitTests/LinearAlgebraTests/Complex32/MatrixTests.cs
index 936977a0..c6ecf226 100644
--- a/src/UnitTests/LinearAlgebraTests/Complex32/MatrixTests.cs
+++ b/src/UnitTests/LinearAlgebraTests/Complex32/MatrixTests.cs
@@ -156,10 +156,10 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Complex32
         public virtual void CanCheckIfMatrixIsSymmetric()
         {
             var matrix = TestMatrices["Symmetric3x3"];
-            Assert.IsTrue(matrix.IsSymmetric);
+            Assert.IsTrue(matrix.IsSymmetric());
 
             matrix = TestMatrices["Square3x3"];
-            Assert.IsFalse(matrix.IsSymmetric);
+            Assert.IsFalse(matrix.IsSymmetric());
         }
     }
 }
diff --git a/src/UnitTests/LinearAlgebraTests/Double/DiagonalMatrixTests.cs b/src/UnitTests/LinearAlgebraTests/Double/DiagonalMatrixTests.cs
index 82c120b7..50cae94e 100644
--- a/src/UnitTests/LinearAlgebraTests/Double/DiagonalMatrixTests.cs
+++ b/src/UnitTests/LinearAlgebraTests/Double/DiagonalMatrixTests.cs
@@ -357,7 +357,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         public override void CanCheckIfMatrixIsSymmetric()
         {
             var matrix = TestMatrices["Square3x3"];
-            Assert.IsTrue(matrix.IsSymmetric);
+            Assert.IsTrue(matrix.IsSymmetric());
         }
 
         [Test]
diff --git a/src/UnitTests/LinearAlgebraTests/Double/MatrixTests.cs b/src/UnitTests/LinearAlgebraTests/Double/MatrixTests.cs
index 4d58a443..7f8aad0d 100644
--- a/src/UnitTests/LinearAlgebraTests/Double/MatrixTests.cs
+++ b/src/UnitTests/LinearAlgebraTests/Double/MatrixTests.cs
@@ -129,10 +129,10 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         public virtual void CanCheckIfMatrixIsSymmetric()
         {
             var matrix = TestMatrices["Symmetric3x3"];
-            Assert.IsTrue(matrix.IsSymmetric);
+            Assert.IsTrue(matrix.IsSymmetric());
 
             matrix = TestMatrices["Square3x3"];
-            Assert.IsFalse(matrix.IsSymmetric);
+            Assert.IsFalse(matrix.IsSymmetric());
         }
     }
 }
diff --git a/src/UnitTests/LinearAlgebraTests/Single/DiagonalMatrixTests.cs b/src/UnitTests/LinearAlgebraTests/Single/DiagonalMatrixTests.cs
index c28ce158..32d2c189 100644
--- a/src/UnitTests/LinearAlgebraTests/Single/DiagonalMatrixTests.cs
+++ b/src/UnitTests/LinearAlgebraTests/Single/DiagonalMatrixTests.cs
@@ -356,7 +356,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Single
         public override void CanCheckIfMatrixIsSymmetric()
         {
             var matrix = TestMatrices["Square3x3"];
-            Assert.IsTrue(matrix.IsSymmetric);
+            Assert.IsTrue(matrix.IsSymmetric());
         }
 
         [Test]
diff --git a/src/UnitTests/LinearAlgebraTests/Single/MatrixTests.cs b/src/UnitTests/LinearAlgebraTests/Single/MatrixTests.cs
index c4b9371a..67bfcd12 100644
--- a/src/UnitTests/LinearAlgebraTests/Single/MatrixTests.cs
+++ b/src/UnitTests/LinearAlgebraTests/Single/MatrixTests.cs
@@ -129,10 +129,10 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Single
         public virtual void CanCheckIfMatrixIsSymmetric()
         {
             var matrix = TestMatrices["Symmetric3x3"];
-            Assert.IsTrue(matrix.IsSymmetric);
+            Assert.IsTrue(matrix.IsSymmetric());
 
             matrix = TestMatrices["Square3x3"];
-            Assert.IsFalse(matrix.IsSymmetric);
+            Assert.IsFalse(matrix.IsSymmetric());
         }
     }
 }