diff --git a/src/main/java/com/ugsbo/matrixcalc/MatrixCalcMath.java b/src/main/java/com/ugsbo/matrixcalc/MatrixCalcMath.java
index 6ca296d..20af826 100644
--- a/src/main/java/com/ugsbo/matrixcalc/MatrixCalcMath.java
+++ b/src/main/java/com/ugsbo/matrixcalc/MatrixCalcMath.java
@@ -122,4 +122,26 @@ public class MatrixCalcMath {
             // Dimensions");
         }
     }
+
+    /**
+     * Transposes the Input Matrix. Swaps rows with colums.
+     * 
+     * @param matrixA The Inputmatrix A wich will be Transposed
+     * @return The Transposed matrix of matrix A
+     */
+    public double[][] matrixTransponation(double[][] matrixA) {
+        if(matrixA == null) {
+            // TODO hier auch die exception.
+            return null;
+        }
+        int columCountResult = matrixA.length;
+        int rowCountResult = matrixA[0].length;
+        double[][] result = new double[rowCountResult][columCountResult];
+        for (int row = 0; row < rowCountResult; row++) {
+            for (int colum = 0; colum < columCountResult; colum++) {
+                result[row][colum] = matrixA[colum][row];
+            }
+        }
+        return result;
+    }
 }
\ No newline at end of file
diff --git a/src/test/java/com/ugsbo/matrixcalc/MatrixMultiplicationTest.java b/src/test/java/com/ugsbo/matrixcalc/MatrixMultiplicationTest.java
index c8a098b..c09e80d 100644
--- a/src/test/java/com/ugsbo/matrixcalc/MatrixMultiplicationTest.java
+++ b/src/test/java/com/ugsbo/matrixcalc/MatrixMultiplicationTest.java
@@ -1,12 +1,10 @@
 package com.ugsbo.matrixcalc;
 
 import static org.junit.Assert.assertArrayEquals;
-import static org.junit.Assert.assertEquals;
 import static org.junit.Assert.assertFalse;
 import static org.junit.Assert.assertTrue;
 
 import org.junit.Test;
-import org.junit.internal.matchers.ThrowableCauseMatcher;
 
 /**
  * Testet die Matrix Multiplication funkionalität
diff --git a/src/test/java/com/ugsbo/matrixcalc/MatrixTransposeTest.java b/src/test/java/com/ugsbo/matrixcalc/MatrixTransposeTest.java
new file mode 100644
index 0000000..437ff1c
--- /dev/null
+++ b/src/test/java/com/ugsbo/matrixcalc/MatrixTransposeTest.java
@@ -0,0 +1,52 @@
+package com.ugsbo.matrixcalc;
+
+import static org.junit.Assert.assertArrayEquals;
+import static org.junit.Assert.assertFalse;
+import static org.junit.Assert.assertTrue;
+
+import org.junit.Test;
+
+/**
+ * Tests the funktionality to Transpose a Matix
+ */
+public class MatrixTransposeTest {
+
+    @Test
+    public void TransformQuadraticMatrixAResultsInQuadraticMatrixC() {
+        MatrixCalcMath math = new MatrixCalcMath();
+        // A(2,2) => C(2,2)
+        double[][] matrixA = { { 1.0, 2.0 }, { 3.0, 4.0 } };
+        double[][] matrixC = { { 1.0, 3.0 }, { 2.0, 4.0 } };
+
+        double[][] result = math.matrixTransponation(matrixA);
+
+        assertArrayEquals("The first row is not correct", matrixC[0], result[0], 0.1);
+        assertArrayEquals("The seound row is not correct", matrixC[1], result[1], 0.1);
+    }
+
+    @Test
+    public void Transform2by3MatrixAResultsIn3by2MatrixC() {
+        MatrixCalcMath math = new MatrixCalcMath();
+        // A(2,3) => C(3,2)
+        double[][] matrixA = { { 1.0, 2.0, 3.0 }, { 4.0, 5.0, 6.0 } };
+        double[][] matrixC = { { 1.0, 4.0 }, { 2.0, 5.0 }, { 3.0, 6.0 } };
+
+        double[][] result = math.matrixTransponation(matrixA);
+
+        assertArrayEquals("The first row is not correct", matrixC[0], result[0], 0.1);
+        assertArrayEquals("The seound row is not correct", matrixC[1], result[1], 0.1);
+    }
+
+    @Test
+    public void Transform1by3MatrixAResultsIn3by1MatrixC() {
+        MatrixCalcMath math = new MatrixCalcMath();
+        // A(1,3) => C(1,3)
+        double[][] matrixA = { { 1.0, 2.0, 3.0 } };
+        double[][] matrixC = { { 1.0 }, { 2.0 }, { 3.0 } };
+
+        double[][] result = math.matrixTransponation(matrixA);
+
+        assertArrayEquals("The first row is not correct", matrixC[0], result[0], 0.1);
+        assertArrayEquals("The seound row is not correct", matrixC[1], result[1], 0.1);
+    }
+}