diff --git a/square_matrix_transpose.py b/square_matrix_transpose.py
new file mode 100644
index 0000000..6e8fda6
--- /dev/null
+++ b/square_matrix_transpose.py
@@ -0,0 +1,48 @@
+
+
+from typing import List
+"""
+Transposes a square matrix.
+Args:
+    M (List[List]): A square matrix represented as a list of lists.
+Returns:
+    List[List]: The transpose of the input square matrix.
+Example:
+    >>> square_matrix_transpose([
+    ...     [1, 2, 3, 0],
+    ...     [4, 5, 6, 1],
+    ...     [7, 8, 9, 2],
+    ...     [1, 2, 3, 4]
+    ... ])
+    [[1, 4, 7, 1], [2, 5, 8, 2], [3, 6, 9, 3], [0, 1, 2, 4]]
+"""
+
+def square_matrix_transpose(M) -> List[List]:
+    row = []
+    T = []
+    ncols = len(M[0])           # ncols is number of columns in matrix A
+    for i in range(0, ncols):       
+        for j in range(0, ncols):
+            row.append(M[j][i])
+        T.append(row)
+        row = []
+    return T
+
+# Example Usage
+matrix = [
+    [1,2,3,0],
+    [4,5,6,1],
+    [7,8,9,2],
+    [1,2,3,4]
+]
+
+print(square_matrix_transpose(matrix))
+
+# Output (As a matrix)
+'''           
+    [[1, 4, 7, 1], 
+     [2, 5, 8, 2], 
+     [3, 6, 9, 3], 
+     [0, 1, 2, 4]]
+    
+'''
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