Some of the operations have been included without using the numpy library. Description of issue being adressed and the solution approach are mentioned underneath ...

N = 4 def transpose(A, B): for i in range(N): for j in range(N): B[i][j] = A[j][i] if name == 'main': A = [[1, 1, 1, 1], [2, 2, 2, 2], [3, 3, 3, 3], [4, 4, 4, 4]] B ...

The present paper is concerned with the solution of the coupled generalized Sylvester-transpose matrix equations { A 1 X B 1 + C 1 X D 1 + E 1 X T F 1 = M 1 , A 2 X B 2 + C 2 X D 2 + E 2 X T F 2 = M 2 ...