diff --git a/matrix/transpose_of_matrix.py b/matrix/transpose_of_matrix.py
new file mode 100644
index 000000000000..b124c5dd5c41
--- /dev/null
+++ b/matrix/transpose_of_matrix.py
@@ -0,0 +1,38 @@
+"""
+finding tanspose of the given matrix
+The transpose of a matrix is a new matrix formed by
+flipping the original matrix over its main diagonal,
+effectively interchanging its rows and columns
+suppose A=[[1,2,3],
+           [4,5,6],
+           [7,8,9]]
+           is the given matrix then it's transpose will be
+        A^t=[[1,4,7],
+             [2,5,8],
+             [3,6,9]]
+Apporoach:
+1. Create a empty(null) matrix of the same size of the given matrix
+2.traverse the given matrix by using nested for loop
+3.copy the elements in oppposite order of the traversl
+i.e. trans[j][i]=matrix[i][j]
+"""
+
+
+def transpose(matrix: list[list[int]]) -> list[list[int]]:
+    # create a null matrix of same dimension of given matrix
+    trans = [[0] * len(matrix) for _ in range(len(matrix[0]))]
+    for i in range(len(matrix)):
+        # row wise traversal
+        for j in range(len(matrix[0])):
+            # column wise traversal
+            trans[j][i] = matrix[i][j]
+            # copying the elements in null matrix
+    return trans
+
+
+# checking for main function
+if __name__ == "__main__":
+    # matrix(given)
+    mat = [[1, 2, 3], [4, 5, 6]]
+    # call the function with mat as parameter
+    print(transpose(mat))