added a file-transepose_of_ matirx

matrix/transpose_of_matrix.py

@@ -0,0 +1,55 @@
+""" "
+this program returns the transpose of a given 2-D matrix
+The transpose of a matrix is a new matrix formed by flipping the original matrix over its diagonal.
+
+In python a matrix is represented by list inside a list
+suppose given matrix A is
+    [[4,5,2],
+ A= [7,5,9],
+    [1,8,3]]
+    then it's transpose will be
+       [[4,7,1],
+ A^t = [5,5,8],
+       [3,9,3]]
+
+"""
+
+
+def transpose_matrix(matrix: list[list[int]]) -> list[list[int]]:
+    """ ""
+    creating a new empty matrix for storing transposed values
+    number of rows in the matrix=len(matrix)
+    number of columns =number of elements in the matrix=number of element in 1st row of the matrix=len(matrix[0])
+    """
+    transposed_matrix = [[0] * len(matrix) for _ in range(len(matrix[0]))]
+    """
+    created an empty matrix of dimension len(matrix)*len(matrix[0])
+    """
+    for i in range(len(matrix)):
+        for j in range(len(matrix[0])):
+            """
+    traversing the matrix element-by-element starting from 1st element of 1st row to last element of last row
+    1st loop--> traversing through the row
+    2nd loop--> traversing through the column
+    by this whole matrix is traversing
+
+    """
+            transposed_matrix[j][i] = matrix[i][j]
+        """
+        keeping the values of matrix to resultant matrix in transposed order
+        for example 2nd element of 3rd row will be 3rd element of 2nd row
+                    1nd element of 2rd row will be 2rd element of 1nd row
+        likwise diagonal element will reamin intact
+
+        """
+        # return the transposed_matrix
+    return transposed_matrix
+
+
+"""
+check for main function
+give input and call the transpose_matrix () function with matirx as a parameter
+"""
+if __name__ == "__main__":
+    matrix = [[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12]]
+    print(transpose_matrix(matrix))