diff --git a/Matrix_test.py b/Matrix_test.py
new file mode 100644
index 0000000..7f44363
--- /dev/null
+++ b/Matrix_test.py
@@ -0,0 +1,18 @@
+from QElephant.Matrix import *
+from pytest import *
+
+m = Matrix([[1, 2, 3], [4, 5, 6]])
+
+assert m._Matrix__m == [[1, 2, 3], [4, 5, 6]]
+assert m._Matrix__size == (2, 3)
+m_ = m * Matrix([[1, 1], [0, 0]])
+assert m_._Matrix__m == [
+    [1, 1, 2, 2, 3, 3],
+    [0, 0, 0, 0, 0, 0],
+    [4, 4, 5, 5, 6, 6],
+    [0, 0, 0, 0, 0, 0],
+    ]
+m_ = m._Matrix__apply([1, 2, 3])
+assert m_ == [14, 32]
+assert str(m) == "[[1, 2, 3], [4, 5, 6]]"
+assert m.to_list() == [[1, 2, 3], [4, 5, 6]]
\ No newline at end of file
diff --git a/docs/Matrix.md b/docs/Matrix.md
index 10f4c66..3a762be 100644
--- a/docs/Matrix.md
+++ b/docs/Matrix.md
@@ -32,13 +32,13 @@ Matrix(l: list[list[complexe]])
 
   returns a string representation of the matrix
 
-
-### Staticmethods
-
-- ```to_list(matrix: Matrix) -> list[list[complex]]```
+- ```to_list() -> list[list[complex]]```
 
   returns the a list representing the given Matrix.
 
+
+### Staticmethods
+
 - ```I() -> Matrix```
 
   returns the matrix