If `A=[[2, 3], [4, 5]]` , prove that `A-A^T` is a skew-symmetric matrix.

If A=[[2,4],[5,6]] , show that (A-A^T) is a skew symmetric matrix, where A^T is the transpose of matrix A.

If A=[[3,-4], [1,-1]] , show that A-A^T is a skew symmetric matrix.

If A=[[3,4],[5,1]] , show that A-A^T is a skew symmetric matrix, where A^T denotes the transpose of matrix A

If the matrix A=((2,3),(4,5)) , then show that A-A^(T) is a skew-symmetric matrix.

If A and B are symmetric matrices, prove that AB BA is a skew symmetric matrix.

For the matrix A=[[1, 5],[ 6, 7]] , verify that.(i) (A+A^(prime)) is a symmetric matrix(ii) (A-A^(prime)) is a skew symmetric matrix

If A and B are symmetric matrices, prove that AB – BA is a skew symmetric matrix.

Express the matrix A=[[3,-4], [1,-1]] as the sum of a symmetric and a skew-symmetric matrix.

The inverse of skew - symmetric matrix of odd order

Express the matrix A=[[4, 2,-1], [3 ,5, 7], [1,-2 ,1]] as the sum of a symmetric and a skew-symmetric matrix.