diff --git a/src/Numerics/LinearAlgebra/Complex/SymmetricDenseMatrix.cs b/src/Numerics/LinearAlgebra/Complex/SymmetricDenseMatrix.cs
index 4929e555..df3305a0 100644
--- a/src/Numerics/LinearAlgebra/Complex/SymmetricDenseMatrix.cs
+++ b/src/Numerics/LinearAlgebra/Complex/SymmetricDenseMatrix.cs
@@ -233,7 +233,7 @@ namespace MathNet.Numerics.LinearAlgebra.Complex
             var m = new SymmetricDenseMatrix(order);
             for (var i = 0; i < order; i++)
             {
-                m.At(i, i, 1.0);
+                m.At(i, i, Complex.One);
             }
 
             return m;
diff --git a/src/Numerics/LinearAlgebra/Complex/SymmetricMatrix.cs b/src/Numerics/LinearAlgebra/Complex/SymmetricMatrix.cs
index 9b996511..6f1b5975 100644
--- a/src/Numerics/LinearAlgebra/Complex/SymmetricMatrix.cs
+++ b/src/Numerics/LinearAlgebra/Complex/SymmetricMatrix.cs
@@ -107,6 +107,24 @@ namespace MathNet.Numerics.LinearAlgebra.Complex
             return this.Clone();
         }
 
+        /// <summary>
+        /// Returns the conjugate transpose of this matrix.
+        /// </summary>        
+        /// <returns>The conjugate transpose of this matrix.</returns>
+        public override Matrix<Complex> ConjugateTranspose()
+        {
+            var ret = CreateMatrix(ColumnCount, RowCount);
+            for (var row = 0; row < RowCount; row++)
+            {
+                for (var column = row; column < ColumnCount; column++)
+                {
+                    ret.At(row, column, At(column, row).Conjugate());
+                }
+            }
+
+            return ret;
+        }
+
         /// <summary>
         /// Adds another matrix to this matrix.
         /// </summary>
diff --git a/src/UnitTests/LinearAlgebraTests/Complex/SymmetricDenseMatrixTests.cs b/src/UnitTests/LinearAlgebraTests/Complex/SymmetricDenseMatrixTests.cs
new file mode 100644
index 00000000..08d8b3f1
--- /dev/null
+++ b/src/UnitTests/LinearAlgebraTests/Complex/SymmetricDenseMatrixTests.cs
@@ -0,0 +1,217 @@
+// <copyright file="SymmetricDenseMatrixTests.cs" company="Math.NET">
+// Math.NET Numerics, part of the Math.NET Project
+// http://numerics.mathdotnet.com
+// http://github.com/mathnet/mathnet-numerics
+// http://mathnetnumerics.codeplex.com
+// Copyright (c) 2009-2010 Math.NET
+// Permission is hereby granted, free of charge, to any person
+// obtaining a copy of this software and associated documentation
+// files (the "Software"), to deal in the Software without
+// restriction, including without limitation the rights to use,
+// copy, modify, merge, publish, distribute, sublicense, and/or sell
+// copies of the Software, and to permit persons to whom the
+// Software is furnished to do so, subject to the following
+// conditions:
+// The above copyright notice and this permission notice shall be
+// included in all copies or substantial portions of the Software.
+// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
+// OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
+// HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
+// WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
+// OTHER DEALINGS IN THE SOFTWARE.
+// </copyright>
+
+namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Complex
+{
+    using System;
+    using System.Collections.Generic;
+    using System.Numerics;
+
+    using MathNet.Numerics.LinearAlgebra.Complex;
+
+    using NUnit.Framework;
+
+    /// <summary>
+    /// Symmetric Dense matrix tests.
+    /// </summary>
+    public class SymmetricDenseMatrixTests : SymmetricMatrixTests
+    {
+        /// <summary>
+        /// Creates a matrix for the given number of rows and columns.
+        /// </summary>
+        /// <param name="rows">
+        /// The number of rows.
+        /// </param>
+        /// <param name="columns">
+        /// The number of columns.
+        /// </param>
+        /// <returns>
+        /// A matrix with the given dimensions.
+        /// </returns>
+        protected override Matrix CreateMatrix(int rows, int columns)
+        {
+            return new DenseMatrix(rows, columns);
+        }
+
+        /// <summary>
+        /// Creates a matrix from a 2D array.
+        /// </summary>
+        /// <param name="data">
+        /// The 2D array to create this matrix from.
+        /// </param>
+        /// <returns>
+        /// A matrix with the given values.
+        /// </returns>
+        protected override Matrix CreateMatrix(Complex[,] data)
+        {
+            if (SymmetricMatrix.CheckIfSymmetric(data))
+            {
+                return new SymmetricDenseMatrix(data);
+            }
+
+            return new DenseMatrix(data);
+        }
+
+        /// <summary>
+        /// Creates a vector of the given size.
+        /// </summary>
+        /// <param name="size">
+        /// The size of the vector to create.
+        /// </param>
+        /// <returns>
+        /// The new vector. 
+        /// </returns>
+        protected override Vector CreateVector(int size)
+        {
+            return new DenseVector(size);
+        }
+
+        /// <summary>
+        /// Creates a vector from an array.
+        /// </summary>
+        /// <param name="data">
+        /// The array to create this vector from.
+        /// </param>
+        /// <returns>
+        /// The new vector. 
+        /// </returns>
+        protected override Vector CreateVector(Complex[] data)
+        {
+            return new DenseVector(data);
+        }
+
+        /// <summary>
+        /// Can create a matrix form array.
+        /// </summary>
+        [Test]
+        public void CanCreateMatrixFrom1DArray()
+        {
+            var testData = new Dictionary<string, Matrix>
+                           {
+                             { "Singular3x3", new SymmetricDenseMatrix(3, new[] { new Complex(1.0, 1), new Complex(2.0, 1), new Complex(0.0, 1), new Complex(3.0, 1), new Complex(0.0, 1), new Complex(0.0, 1) }) }, 
+                             { "Square3x3", new SymmetricDenseMatrix(3, new[] { new Complex(-1.1, 1), new Complex(2.0, 1), new Complex(1.1, 1), new Complex(3.0, 1), new Complex(0.0, 1), new Complex(6.6, 1) }) }, 
+                             { "Square4x4", new SymmetricDenseMatrix(4, new[] { new Complex(1.1, 1), new Complex(2.0, 1), new Complex(5.0, 1), new Complex(-3.0, 1), new Complex(-6.0, 1), new Complex(8.0, 1), new Complex(4.4, 1), new Complex(7.0, 1), new Complex(9.0, 1), new Complex(10.0, 1) }) }, 
+                             { "Singular4x4", new SymmetricDenseMatrix(4, new[] { new Complex(1.0, 1), new Complex(2.0, 1), new Complex(5.0, 1), new Complex(0.0, 1), new Complex(0.0, 1), new Complex(0.0, 1), new Complex(4.0, 1), new Complex(7.0, 1), new Complex(0.0, 1), new Complex(10.0, 1) }) }, 
+                             { "Symmetric3x3", new SymmetricDenseMatrix(3, new[] { new Complex(1.0, 1), new Complex(2.0, 1), new Complex(2.0, 1), new Complex(3.0, 1), new Complex(0.0, 1), new Complex(3.0, 1) }) },
+                             { "IndexTester4x4", new SymmetricDenseMatrix(4, new [] { new Complex(0, 1), new Complex(1, 1), new Complex(2, 1), new Complex(3, 1), new Complex(4, 1), new Complex(5, 1), new Complex(6, 1), new Complex(7, 1), new Complex(8, 1), new Complex(9, 1) }) }
+                           };
+
+            foreach (var name in testData.Keys)
+            {
+                Assert.AreEqual(TestMatrices[name], testData[name]);
+            }
+        }
+
+        /// <summary>
+        /// Matrix from array is a reference.
+        /// </summary>
+        [Test]
+        public void MatrixFrom1DArrayIsReference()
+        {
+            var data = new Complex[] { new Complex(1, 1), new Complex(1, 1), new Complex(1, 1), new Complex(1, 1), new Complex(1, 1), new Complex(1, 1) };
+            var matrix = new SymmetricDenseMatrix(3, data);
+            matrix[0, 0] = new Complex(10.0, 2);
+            Assert.AreEqual(new Complex(10.0, 2), data[0]);
+        }
+
+        /// <summary>
+        /// Can create a matrix form array.
+        /// </summary>
+        [Test]
+        public void CanCreateMatrixFrom2DArray()
+        {
+            var testData = new Dictionary<string, Matrix>
+                          {
+                             { "Singular3x3", new SymmetricDenseMatrix(new[,] { { new Complex(1.0, 1), new Complex(2.0, 1), new Complex(3.0, 1) }, { new Complex(2.0, 1), new Complex(0.0, 1), new Complex(0.0, 1) }, { new Complex(3.0, 1), new Complex(0.0, 1), new Complex(0.0, 1) } }) }, 
+                             { "Square3x3", new SymmetricDenseMatrix(new[,] { { new Complex(-1.1, 1), new Complex(2.0, 1), new Complex(3.0, 1) }, { new Complex(2.0, 1), new Complex(1.1, 1), new Complex(0.0, 1) }, { new Complex(3.0, 1), new Complex(0.0, 1), new Complex(6.6, 1) } }) }, 
+                             { "Square4x4", new SymmetricDenseMatrix(new[,] { { new Complex(1.1, 1), new Complex(2.0, 1), new Complex(-3.0, 1), new Complex(4.4, 1) }, { new Complex(2.0, 1), new Complex(5.0, 1), new Complex(-6.0, 1), new Complex(7.0, 1) }, { new Complex(-3.0, 1), new Complex(-6.0, 1), new Complex(8.0, 1), new Complex(9.0, 1) }, { new Complex(4.4, 1), new Complex(7.0, 1), new Complex(9.0, 1), new Complex(10.0, 1) } }) }, 
+                             { "Singular4x4", new SymmetricDenseMatrix(new[,] { { new Complex(1.0, 1), new Complex(2.0, 1), new Complex(0.0, 1), new Complex(4.0, 1) }, { new Complex(2.0, 1), new Complex(5.0, 1), new Complex(0.0, 1), new Complex(7.0, 1) }, { new Complex(0.0, 1), new Complex(0.0, 1), new Complex(0.0, 1), new Complex(0.0, 1) }, { new Complex(4.0, 1), new Complex(7.0, 1), new Complex(0.0, 1), new Complex(10.0, 1) } }) }, 
+                             { "Symmetric3x3", new SymmetricDenseMatrix(new[,] { { new Complex(1.0, 1), new Complex(2.0, 1), new Complex(3.0, 1) }, { new Complex(2.0, 1), new Complex(2.0, 1), new Complex(0.0, 1) }, { new Complex(3.0, 1), new Complex(0.0, 1), new Complex(3.0, 1) } }) },
+                             { "IndexTester4x4", new SymmetricDenseMatrix(new [,] { { new Complex(0, 1), new Complex(1, 1), new Complex(3, 1), new Complex(6, 1) }, { new Complex(1, 1), new Complex(2, 1), new Complex(4, 1), new Complex(7, 1) }, { new Complex(3, 1), new Complex(4, 1), new Complex(5, 1), new Complex(8, 1) }, { new Complex(6, 1), new Complex(7, 1), new Complex(8, 1), new Complex(9, 1) } }) }
+                         };
+
+            foreach (var name in testData.Keys)
+            {
+                Assert.AreEqual(TestMatrices[name], testData[name]);
+            }
+        }
+
+        /// <summary>
+        /// Matrix from two-dimensional array is a copy.
+        /// </summary>
+        [Test]
+        public void MatrixFrom2DArrayIsCopy()
+        {
+            var matrix = new DenseMatrix(TestData2D["Singular3x3"]);
+            matrix[0, 0] = new Complex(10.0, 2);
+            Assert.AreEqual(new Complex(1.0, 1), TestData2D["Singular3x3"][0, 0]);
+        }
+
+        /// <summary>
+        /// Can create a matrix with uniform values.
+        /// </summary>
+        [Test]
+        public void CanCreateMatrixWithUniformValues()
+        {
+            var matrix = new SymmetricDenseMatrix(10, new Complex(10.0, 2));
+            var value = new Complex(10.0, 2);
+            for (var i = 0; i < matrix.RowCount; i++)
+            {
+                for (var j = 0; j < matrix.ColumnCount; j++)
+                {
+                    Assert.AreEqual(matrix[i, j], value);
+                }
+            }
+        }
+
+        /// <summary>
+        /// Can create an identity matrix.
+        /// </summary>
+        [Test]
+        public void CanCreateIdentity()
+        {
+            var matrix = SymmetricDenseMatrix.Identity(5);
+            for (var i = 0; i < matrix.RowCount; i++)
+            {
+                for (var j = 0; j < matrix.ColumnCount; j++)
+                {
+                    Assert.AreEqual(i == j ? Complex.One : Complex.Zero, matrix[i, j]);
+                }
+            }
+        }
+
+        /// <summary>
+        /// Identity with wrong order throws <c>ArgumentOutOfRangeException</c>.
+        /// </summary>
+        /// <param name="order">The size of the square matrix</param>
+        [TestCase(0)]
+        [TestCase(-1)]
+        public void IdentityWithWrongOrderThrowsArgumentOutOfRangeException(int order)
+        {
+            Assert.Throws<ArgumentOutOfRangeException>(() => SymmetricDenseMatrix.Identity(order));
+        }
+    }
+}
\ No newline at end of file
diff --git a/src/UnitTests/LinearAlgebraTests/Complex/SymmetricMatrixTests.Arithmetic.cs b/src/UnitTests/LinearAlgebraTests/Complex/SymmetricMatrixTests.Arithmetic.cs
new file mode 100644
index 00000000..d3c59ac3
--- /dev/null
+++ b/src/UnitTests/LinearAlgebraTests/Complex/SymmetricMatrixTests.Arithmetic.cs
@@ -0,0 +1,192 @@
+// <copyright file="SymmetricMatrixTests.Arithmetic.cs" company="Math.NET">
+// Math.NET Numerics, part of the Math.NET Project
+// http://numerics.mathdotnet.com
+// http://github.com/mathnet/mathnet-numerics
+// http://mathnetnumerics.codeplex.com
+// Copyright (c) 2009-2010 Math.NET
+// Permission is hereby granted, free of charge, to any person
+// obtaining a copy of this software and associated documentation
+// files (the "Software"), to deal in the Software without
+// restriction, including without limitation the rights to use,
+// copy, modify, merge, publish, distribute, sublicense, and/or sell
+// copies of the Software, and to permit persons to whom the
+// Software is furnished to do so, subject to the following
+// conditions:
+// The above copyright notice and this permission notice shall be
+// included in all copies or substantial portions of the Software.
+// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
+// OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
+// HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
+// WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
+// OTHER DEALINGS IN THE SOFTWARE.
+// </copyright>
+
+namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Complex
+{
+    using System.Collections.Generic;
+    using LinearAlgebra.Complex;
+    using NUnit.Framework;
+    using System.Numerics;
+
+    /// <summary>
+    /// Abstract class with the common set of matrix tests for symmetric matrices
+    /// </summary>
+    public abstract partial class SymmetricMatrixTests
+    {
+        /// <summary>
+        /// Setup test matrices. 
+        /// Singular and Square matrices are overridden here with symmetric ones so that calls to base methods work as intended. 
+        /// Additional NonSymmetric matrices are defined for some tests. 
+        /// </summary>
+        [SetUp]
+        public override void SetupMatrices()
+        {
+            TestData2D = new Dictionary<string, Complex[,]>
+                         {
+                             { "Singular3x3", new[,] { { new Complex(1.0, 1), new Complex(2.0, 1), new Complex(3.0, 1) }, { new Complex(2.0, 1), new Complex(0.0, 1), new Complex(0.0, 1) }, { new Complex(3.0, 1), new Complex(0.0, 1), new Complex(0.0, 1) } } }, 
+                             { "Square3x3", new[,] { { new Complex(-1.1, 1), new Complex(2.0, 1), new Complex(3.0, 1) }, { new Complex(2.0, 1), new Complex(1.1, 1), new Complex(0.0, 1) }, { new Complex(3.0, 1), new Complex(0.0, 1), new Complex(6.6, 1) } } }, 
+                             { "Square4x4", new[,] { { new Complex(1.1, 1), new Complex(2.0, 1), new Complex(-3.0, 1), new Complex(4.4, 1) }, { new Complex(2.0, 1), new Complex(5.0, 1), new Complex(-6.0, 1), new Complex(7.0, 1) }, { new Complex(-3.0, 1), new Complex(-6.0, 1), new Complex(8.0, 1), new Complex(9.0, 1) }, { new Complex(4.4, 1), new Complex(7.0, 1), new Complex(9.0, 1), new Complex(10.0, 1) } } }, 
+                             { "Singular4x4", new[,] { { new Complex(1.0, 1), new Complex(2.0, 1), new Complex(0.0, 1), new Complex(4.0, 1) }, { new Complex(2.0, 1), new Complex(5.0, 1), new Complex(0.0, 1), new Complex(7.0, 1) }, { new Complex(0.0, 1), new Complex(0.0, 1), new Complex(0.0, 1), new Complex(0.0, 1) }, { new Complex(4.0, 1), new Complex(7.0, 1), new Complex(0.0, 1), new Complex(10.0, 1) } } }, 
+                             { "Tall3x2", new[,] { { new Complex(-1.1, 1), new Complex(-2.2, 1) }, { new Complex(0.0, 1), new Complex(1.1, 1) }, { new Complex(-4.4, 1), new Complex(5.5, 1) } } }, 
+                             { "Wide2x3", new[,] { { new Complex(-1.1, 1), new Complex(-2.2, 1), new Complex(-3.3, 1) }, { new Complex(0.0, 1), new Complex(1.1, 1), new Complex(2.2, 1) } } }, 
+                             { "Symmetric3x3", new[,] { { new Complex(1.0, 1), new Complex(2.0, 1), new Complex(3.0, 1) }, { new Complex(2.0, 1), new Complex(2.0, 1), new Complex(0.0, 1) }, { new Complex(3.0, 1), new Complex(0.0, 1), new Complex(3.0, 1) } } },
+                             { "NonSymmetric3x3", new[,] { { new Complex(-1.1, 1), new Complex(-2.2, 1), new Complex(-3.3, 1) }, { new Complex(0.0, 1), new Complex(1.1, 1), new Complex(2.2, 1) }, { new Complex(-4.4, 1), new Complex(5.5, 1), new Complex(6.6, 1) } } },
+                             { "NonSymmetric4x4", new[,] { { new Complex(-1.1, 1), new Complex(-2.2, 1), new Complex(-3.3, 1), new Complex(-4.4, 1) }, { new Complex(0.0, 1), new Complex(1.1, 1), new Complex(2.2, 1), new Complex(3.3, 1) }, { new Complex(1.0, 1), new Complex(2.1, 1), new Complex(6.2, 1), new Complex(4.3, 1) }, { new Complex(-4.4, 1), new Complex(5.5, 1), new Complex(6.6, 1), new Complex(-7.7, 1) } } },
+                             { "IndexTester4x4", new [,] { { new Complex(0, 1), new Complex(1, 1), new Complex(3, 1), new Complex(6, 1) }, { new Complex(1, 1), new Complex(2, 1), new Complex(4, 1), new Complex(7, 1) }, { new Complex(3, 1), new Complex(4, 1), new Complex(5, 1), new Complex(8, 1) }, { new Complex(6, 1), new Complex(7, 1), new Complex(8, 1), new Complex(9, 1) } } }
+                         };
+
+            TestMatrices = new Dictionary<string, Matrix>();
+
+            foreach (var name in TestData2D.Keys)
+            {
+                TestMatrices.Add(name, CreateMatrix(TestData2D[name]));
+            }
+        }
+
+        /// <summary>
+        /// Can add a non-symmetric matrix to this symmetric matrix.
+        /// </summary>
+        /// <param name="mtxA">Matrix A name.</param>
+        /// <param name="mtxB">Matrix B name.</param>
+        [Test, Sequential]
+        public void CanAddNonSymmetricMatrix([Values("Square3x3", "Square4x4")] string mtxA, [Values("NonSymmetric3x3", "NonSymmetric4x4")] string mtxB)
+        {
+            var matrixA = TestMatrices[mtxA];
+            var matrixB = TestMatrices[mtxB];
+
+            var matrix = matrixA.Clone();
+            matrix = matrix.Add(matrixB);
+
+            for (var i = 0; i < matrix.RowCount; i++)
+            {
+                for (var j = 0; j < matrix.ColumnCount; j++)
+                {
+                    Assert.AreEqual(matrix[i, j], matrixA[i, j] + matrixB[i, j]);
+                }
+            }
+        }
+
+        /// <summary>
+        /// Can subtract a non-symmetric matrix from this symmetric matrix.
+        /// </summary>
+        /// <param name="mtxA">Matrix A name.</param>
+        /// <param name="mtxB">Matrix B name.</param>
+        [Test, Sequential]
+        public void CanSubtractNonSymmetricMatrix([Values("Square3x3", "Square4x4")] string mtxA, [Values("NonSymmetric3x3", "NonSymmetric4x4")] string mtxB)
+        {
+            var matrixA = TestMatrices[mtxA];
+            var matrixB = TestMatrices[mtxB];
+
+            var matrix = matrixA.Clone();
+            matrix = matrix.Subtract(matrixB);
+            for (var i = 0; i < matrix.RowCount; i++)
+            {
+                for (var j = 0; j < matrix.ColumnCount; j++)
+                {
+                    Assert.AreEqual(matrix[i, j], matrixA[i, j] - matrixB[i, j]);
+                }
+            }
+        }
+
+        /// <summary>
+        /// Can compute Frobenius norm.
+        /// </summary>
+        public override void CanComputeFrobeniusNorm()
+        {
+            var matrix = TestMatrices["Square3x3"];
+            var denseMatrix = new DenseMatrix(TestData2D["Square3x3"]);
+            AssertHelpers.AlmostEqual(denseMatrix.FrobeniusNorm(), matrix.FrobeniusNorm(), 14);
+
+            matrix = TestMatrices["Wide2x3"];
+            denseMatrix = new DenseMatrix(TestData2D["Wide2x3"]);
+            AssertHelpers.AlmostEqual(denseMatrix.FrobeniusNorm(), matrix.FrobeniusNorm(), 14);
+
+            matrix = TestMatrices["Tall3x2"];
+            denseMatrix = new DenseMatrix(TestData2D["Tall3x2"]);
+            AssertHelpers.AlmostEqual(denseMatrix.FrobeniusNorm(), matrix.FrobeniusNorm(), 14);
+        }
+
+
+
+        /// <summary>
+        /// Can compute Infinity norm.
+        /// </summary>
+        public override void CanComputeInfinityNorm()
+        {
+            var matrix = TestMatrices["Square3x3"];
+            var denseMatrix = new DenseMatrix(TestData2D["Square3x3"]);
+            AssertHelpers.AlmostEqual(denseMatrix.InfinityNorm(), matrix.InfinityNorm(), 14);
+
+            matrix = TestMatrices["Wide2x3"];
+            denseMatrix = new DenseMatrix(TestData2D["Wide2x3"]);
+            AssertHelpers.AlmostEqual(denseMatrix.InfinityNorm(), matrix.InfinityNorm(), 14);
+
+            matrix = TestMatrices["Tall3x2"];
+            denseMatrix = new DenseMatrix(TestData2D["Tall3x2"]);
+            AssertHelpers.AlmostEqual(denseMatrix.InfinityNorm(), matrix.InfinityNorm(), 14);
+        }
+
+
+
+        /// <summary>
+        /// Can compute L1 norm.
+        /// </summary>
+        public override void CanComputeL1Norm()
+        {
+            var matrix = TestMatrices["Square3x3"];
+            var denseMatrix = new DenseMatrix(TestData2D["Square3x3"]);
+            AssertHelpers.AlmostEqual(denseMatrix.L1Norm(), matrix.L1Norm(), 14);
+
+            matrix = TestMatrices["Wide2x3"];
+            denseMatrix = new DenseMatrix(TestData2D["Wide2x3"]);
+            AssertHelpers.AlmostEqual(denseMatrix.L1Norm(), matrix.L1Norm(), 14);
+
+            matrix = TestMatrices["Tall3x2"];
+            denseMatrix = new DenseMatrix(TestData2D["Tall3x2"]);
+            AssertHelpers.AlmostEqual(denseMatrix.L1Norm(), matrix.L1Norm(), 14);
+        }
+
+
+
+        /// <summary>
+        /// Can compute L2 norm.
+        /// </summary>
+        public override void CanComputeL2Norm()
+        {
+            var matrix = TestMatrices["Square3x3"];
+            var denseMatrix = new DenseMatrix(TestData2D["Square3x3"]);
+            AssertHelpers.AlmostEqual(denseMatrix.L2Norm(), matrix.L2Norm(), 14);
+
+            matrix = TestMatrices["Wide2x3"];
+            denseMatrix = new DenseMatrix(TestData2D["Wide2x3"]);
+            AssertHelpers.AlmostEqual(denseMatrix.L2Norm(), matrix.L2Norm(), 14);
+
+            matrix = TestMatrices["Tall3x2"];
+            denseMatrix = new DenseMatrix(TestData2D["Tall3x2"]);
+            AssertHelpers.AlmostEqual(denseMatrix.L2Norm(), matrix.L2Norm(), 14);
+        }
+    }
+}
\ No newline at end of file
diff --git a/src/UnitTests/LinearAlgebraTests/Complex/SymmetricMatrixTests.cs b/src/UnitTests/LinearAlgebraTests/Complex/SymmetricMatrixTests.cs
new file mode 100644
index 00000000..3121e9b8
--- /dev/null
+++ b/src/UnitTests/LinearAlgebraTests/Complex/SymmetricMatrixTests.cs
@@ -0,0 +1,124 @@
+// <copyright file="SymmetricMatrixTests.cs" company="Math.NET">
+// Math.NET Numerics, part of the Math.NET Project
+// http://numerics.mathdotnet.com
+// http://github.com/mathnet/mathnet-numerics
+// http://mathnetnumerics.codeplex.com
+// Copyright (c) 2009-2010 Math.NET
+// Permission is hereby granted, free of charge, to any person
+// obtaining a copy of this software and associated documentation
+// files (the "Software"), to deal in the Software without
+// restriction, including without limitation the rights to use,
+// copy, modify, merge, publish, distribute, sublicense, and/or sell
+// copies of the Software, and to permit persons to whom the
+// Software is furnished to do so, subject to the following
+// conditions:
+// The above copyright notice and this permission notice shall be
+// included in all copies or substantial portions of the Software.
+// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
+// OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
+// HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
+// WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
+// OTHER DEALINGS IN THE SOFTWARE.
+// </copyright>
+
+namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Complex
+{
+    using System.Numerics;
+    using MathNet.Numerics.LinearAlgebra.Complex;
+    using NUnit.Framework;
+
+    /// <summary>
+    /// Abstract class with the common set of matrix tests for symmetric matrices. 
+    /// </summary>
+    public abstract partial class SymmetricMatrixTests : MatrixTests
+    {
+        /// <summary>
+        /// Can check if a matrix is symmetric.
+        /// </summary>
+        [Test]
+        public override void CanCheckIfMatrixIsSymmetric()
+        {
+            var matrix = TestMatrices["Square3x3"];
+            Assert.IsTrue(matrix.IsSymmetric);
+
+            matrix = TestMatrices["NonSymmetric3x3"];
+            Assert.IsFalse(matrix.IsSymmetric);
+        }
+
+        /// <summary>
+        /// Can check if a [,] array is symmetric. 
+        /// </summary>
+        [Test]
+        public void CanCheckIfArrayIsSymmetric()
+        {
+            Assert.IsTrue(SymmetricMatrix.CheckIfSymmetric(TestData2D["Square3x3"]));
+            Assert.IsFalse(SymmetricMatrix.CheckIfSymmetric(TestData2D["NonSymmetric3x3"]));
+        }
+
+        /// <summary>
+        /// Test whether the index enumerator returns the correct values.
+        /// </summary>
+        [Test]
+        public void CanUseIndexedEnumerator()
+        {
+            var matrix = TestMatrices["Singular3x3"];
+            var enumerator = matrix.IndexedEnumerator().GetEnumerator();
+            enumerator.MoveNext();
+            var item = enumerator.Current;
+            Assert.AreEqual(0, item.Item1);
+            Assert.AreEqual(0, item.Item2);
+            Assert.AreEqual(new Complex(1.0, 1), item.Item3);
+
+            enumerator.MoveNext();
+            item = enumerator.Current;
+            Assert.AreEqual(0, item.Item1);
+            Assert.AreEqual(1, item.Item2);
+            Assert.AreEqual(new Complex(2.0, 1), item.Item3);
+
+            enumerator.MoveNext();
+            item = enumerator.Current;
+            Assert.AreEqual(0, item.Item1);
+            Assert.AreEqual(2, item.Item2);
+            Assert.AreEqual(new Complex(3.0, 1), item.Item3);
+
+            enumerator.MoveNext();
+            item = enumerator.Current;
+            Assert.AreEqual(1, item.Item1);
+            Assert.AreEqual(0, item.Item2);
+            Assert.AreEqual(new Complex(2.0, 1), item.Item3);
+
+            enumerator.MoveNext();
+            item = enumerator.Current;
+            Assert.AreEqual(1, item.Item1);
+            Assert.AreEqual(1, item.Item2);
+            Assert.AreEqual(new Complex(0.0, 1), item.Item3);
+
+            enumerator.MoveNext();
+            item = enumerator.Current;
+            Assert.AreEqual(1, item.Item1);
+            Assert.AreEqual(2, item.Item2);
+            Assert.AreEqual(new Complex(0.0, 1), item.Item3);
+
+            enumerator.MoveNext();
+            item = enumerator.Current;
+            Assert.AreEqual(2, item.Item1);
+            Assert.AreEqual(0, item.Item2);
+            Assert.AreEqual(new Complex(3.0, 1), item.Item3);
+
+            enumerator.MoveNext();
+            item = enumerator.Current;
+            Assert.AreEqual(2, item.Item1);
+            Assert.AreEqual(1, item.Item2);
+            Assert.AreEqual(new Complex(0.0, 1), item.Item3);
+
+            enumerator.MoveNext();
+            item = enumerator.Current;
+            Assert.AreEqual(2, item.Item1);
+            Assert.AreEqual(2, item.Item2);
+            Assert.AreEqual(new Complex(0.0, 1), item.Item3);
+        }
+    }
+}
\ No newline at end of file
diff --git a/src/UnitTests/UnitTests.csproj b/src/UnitTests/UnitTests.csproj
index aa47b7eb..7ce13c00 100644
--- a/src/UnitTests/UnitTests.csproj
+++ b/src/UnitTests/UnitTests.csproj
@@ -420,6 +420,9 @@
     <Compile Include="LinearAlgebraTests\Complex\SparseVectorTest.TextHandling.cs">
       <SubType>Code</SubType>
     </Compile>
+    <Compile Include="LinearAlgebraTests\Complex\SymmetricDenseMatrixTests.cs" />
+    <Compile Include="LinearAlgebraTests\Complex\SymmetricMatrixTests.Arithmetic.cs" />
+    <Compile Include="LinearAlgebraTests\Complex\SymmetricMatrixTests.cs" />
     <Compile Include="LinearAlgebraTests\Complex\UserDefinedMatrix.cs">
       <SubType>Code</SubType>
     </Compile>