diff --git a/src/UnitTests/LinearAlgebraTests/Double/SymmetricMatrixTests.Arithmetic.cs b/src/UnitTests/LinearAlgebraTests/Double/SymmetricMatrixTests.Arithmetic.cs
new file mode 100644
index 00000000..cb7accb7
--- /dev/null
+++ b/src/UnitTests/LinearAlgebraTests/Double/SymmetricMatrixTests.Arithmetic.cs
@@ -0,0 +1,191 @@
+// <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.Double
+{
+    using System.Collections.Generic;
+    using LinearAlgebra.Double;
+    using NUnit.Framework;
+
+    /// <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, double[,]>
+                         {
+                             { "Singular3x3", new[,] { { 1.0, 2.0, 3.0 }, { 2.0, 0.0, 0.0 }, { 3.0, 0.0, 0.0 } } }, 
+                             { "Square3x3", new[,] { { -1.1, 2.0, 3.0 }, { 2.0, 1.1, 0.0 }, { 3.0, 0.0, 6.6 } } }, 
+                             { "Square4x4", new[,] { { 1.1, 2.0, -3.0, 4.4 }, { 2.0, 5.0, -6.0, 7.0 }, { -3.0, -6.0, 8.0, 9.0 }, { 4.4, 7.0, 9.0, 10.0 } } }, 
+                             { "Singular4x4", new[,] { { 1.0, 2.0, 0.0, 4.0 }, { 2.0, 5.0, 0.0, 7.0 }, { 0.0, 0.0, 0.0, 0.0 }, { 4.0, 7.0, 0.0, 10.0 } } }, 
+                             { "Tall3x2", new[,] { { -1.1, -2.2 }, { 0.0, 1.1 }, { -4.4, 5.5 } } }, 
+                             { "Wide2x3", new[,] { { -1.1, -2.2, -3.3 }, { 0.0, 1.1, 2.2 } } }, 
+                             { "Symmetric3x3", new[,] { { 1.0, 2.0, 3.0 }, { 2.0, 2.0, 0.0 }, { 3.0, 0.0, 3.0 } } },
+                             { "NonSymmetric3x3", new[,] { { -1.1, -2.2, -3.3 }, { 0.0, 1.1, 2.2 }, { -4.4, 5.5, 6.6 } } },
+                             { "NonSymmetric4x4", new[,] { { -1.1, -2.2, -3.3, -4.4 }, { 0.0, 1.1, 2.2, 3.3 }, { 1.0, 2.1, 6.2, 4.3 }, { -4.4, 5.5, 6.6, -7.7 } } },
+                             { "IndexTester4x4", new double[,] { { 0, 1, 3, 6 }, { 1, 2, 4, 7 }, { 3, 4, 5, 8 }, { 6, 7, 8, 9 } } }
+                         };
+
+            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/Double/SymmetricMatrixTests.cs b/src/UnitTests/LinearAlgebraTests/Double/SymmetricMatrixTests.cs
new file mode 100644
index 00000000..d95359f0
--- /dev/null
+++ b/src/UnitTests/LinearAlgebraTests/Double/SymmetricMatrixTests.cs
@@ -0,0 +1,123 @@
+// <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.Double
+{
+    using MathNet.Numerics.LinearAlgebra.Double;
+    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(1.0, item.Item3);
+
+            enumerator.MoveNext();
+            item = enumerator.Current;
+            Assert.AreEqual(0, item.Item1);
+            Assert.AreEqual(1, item.Item2);
+            Assert.AreEqual(2.0, item.Item3);
+
+            enumerator.MoveNext();
+            item = enumerator.Current;
+            Assert.AreEqual(0, item.Item1);
+            Assert.AreEqual(2, item.Item2);
+            Assert.AreEqual(3.0, item.Item3);
+
+            enumerator.MoveNext();
+            item = enumerator.Current;
+            Assert.AreEqual(1, item.Item1);
+            Assert.AreEqual(0, item.Item2);
+            Assert.AreEqual(2.0, item.Item3);
+
+            enumerator.MoveNext();
+            item = enumerator.Current;
+            Assert.AreEqual(1, item.Item1);
+            Assert.AreEqual(1, item.Item2);
+            Assert.AreEqual(0.0, item.Item3);
+
+            enumerator.MoveNext();
+            item = enumerator.Current;
+            Assert.AreEqual(1, item.Item1);
+            Assert.AreEqual(2, item.Item2);
+            Assert.AreEqual(0.0, item.Item3);
+
+            enumerator.MoveNext();
+            item = enumerator.Current;
+            Assert.AreEqual(2, item.Item1);
+            Assert.AreEqual(0, item.Item2);
+            Assert.AreEqual(3.0, item.Item3);
+
+            enumerator.MoveNext();
+            item = enumerator.Current;
+            Assert.AreEqual(2, item.Item1);
+            Assert.AreEqual(1, item.Item2);
+            Assert.AreEqual(0.0, item.Item3);
+
+            enumerator.MoveNext();
+            item = enumerator.Current;
+            Assert.AreEqual(2, item.Item1);
+            Assert.AreEqual(2, item.Item2);
+            Assert.AreEqual(0.0, item.Item3);
+        }
+    }
+}
\ No newline at end of file
diff --git a/src/UnitTests/UnitTests.csproj b/src/UnitTests/UnitTests.csproj
index 6ca40e38..9a71e1b5 100644
--- a/src/UnitTests/UnitTests.csproj
+++ b/src/UnitTests/UnitTests.csproj
@@ -568,6 +568,8 @@
     <Compile Include="LinearAlgebraTests\Double\SparseVectorTest.TextHandling.cs">
       <SubType>Code</SubType>
     </Compile>
+    <Compile Include="LinearAlgebraTests\Double\SymmetricMatrixTests.Arithmetic.cs" />
+    <Compile Include="LinearAlgebraTests\Double\SymmetricMatrixTests.cs" />
     <Compile Include="LinearAlgebraTests\Double\UserDefinedMatrix.cs">
       <SubType>Code</SubType>
     </Compile>