diff --git a/tests/Math/Matrix/CholeskyDecompositionTest.php b/tests/Math/Matrix/CholeskyDecompositionTest.php
index 8d433f07c..ee9773f8c 100644
--- a/tests/Math/Matrix/CholeskyDecompositionTest.php
+++ b/tests/Math/Matrix/CholeskyDecompositionTest.php
@@ -36,11 +36,23 @@ class CholeskyDecompositionTest extends \PHPUnit\Framework\TestCase
             [-1, 1, 3],
         ], $cholesky->getL()->toArray(), '', 0.2);
 
+        self::assertTrue($cholesky->isSpd());
+    }
+
+    public function testSolve()
+    {
+        $A = new Matrix();
+        $A->setMatrix([
+            [25, 15, -5],
+            [15, 17, 0],
+            [-5, 0, 11],
+        ]);
+
+        $cholesky = new CholeskyDecomposition($A);
+
         $vec = new Vector();
         $vec->setMatrix([[40], [49], [28]]);
         self::assertEquals([[1], [2], [3]], $cholesky->solve($vec)->toArray(), '', 0.2);
-
-        self::assertTrue($cholesky->isSpd());
     }
 
     /**
diff --git a/tests/Math/Matrix/QRDecompositionTest.php b/tests/Math/Matrix/QRDecompositionTest.php
new file mode 100644
index 000000000..7c473c25f
--- /dev/null
+++ b/tests/Math/Matrix/QRDecompositionTest.php
@@ -0,0 +1,69 @@
+<?php
+/**
+ * Orange Management
+ *
+ * PHP Version 7.2
+ *
+ * @package    TBD
+ * @copyright  Dennis Eichhorn
+ * @license    OMS License 1.0
+ * @version    1.0.0
+ * @link       http://website.orange-management.de
+ */
+
+namespace phpOMS\tests\Math\Matrix;
+
+use phpOMS\Math\Matrix\Matrix;
+use phpOMS\Math\Matrix\Vector;
+use phpOMS\Math\Matrix\QRDecomposition;
+
+class QRDecompositionTest extends \PHPUnit\Framework\TestCase
+{
+    /**public function testDecomposition()
+    {
+        $A = new Matrix();
+        $A->setMatrix([
+            [12, -51, 4],
+            [6, 167, -68],
+            [-4, 24, -41],
+        ]);
+
+        $QR = new QRDecomposition($A);
+
+        self::assertTrue($QR->isFullRank());
+
+        self::assertEquals([
+            [12, -69, -58 / 5],
+            [6, 158, 6 / 5],
+            [-4, 30, -33],
+        ], $QR->getH()->toArray(), '', 0.2);
+
+        self::assertEquals([
+            [6 / 7, -69 / 175, -58 / 175],
+            [3 / 7, 158 / 175, 6 / 175],
+            [-2 / 7, 6 / 35, -33 / 35],
+        ], $QR->getQ()->toArray(), '', 0.2);
+
+        self::assertEquals([
+            [14, 21, -14],
+            [0, 175, -70],
+            [0, 0, 35],
+        ], $QR->getR()->toArray(), '', 0.2);
+    }*/
+
+    public function testSolve()
+    {
+        $A = new Matrix();
+        $A->setMatrix([
+            [25, 15, -5],
+            [15, 17, 0],
+            [-5, 0, 11],
+        ]);
+
+        $QR = new QRDecomposition($A);
+
+        $vec = new Vector();
+        $vec->setMatrix([[40], [49], [28]]);
+        self::assertEquals([[1], [2], [3]], $QR->solve($vec)->toArray(), '', 0.2);
+    }
+}