If `A=[[4,1],[5,8]]`, show that `A+A^T` is symmetric matrix, where `A^T` denotes the transpose of matrix A

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

Define a symmetric matrix. Prove that for A=[2 4 5 6] , A+A^T is a symmetric matrix where A^T is the transpose of Adot

If a non-singular matrix and A^(T) denotes the tranpose of A, then

Show that (A+A') is symmetric matrix, if A = ((2,4),(3,5)) .

If matrix A=[1\ 2\ 3],\ write A A' , where A ' is the transpose of matrix A

If A is a symmetric matrix, write whether A^T is symmetric or skew-symmetric.

If A is a symmetric matrix, write whether A^T is symmetric or skew-symmetric.