Let A be a square matrix. Then prove that `A A^(T)` and `A^(T) A` are symmetric matrices.

Let A be a square matrix. Then prove that A - A^(T) is a skew-symmetric matrix

Let A be a square matrix. Then prove that A + A ^(T) is a symmetric matrix.

Let A be a square matrix of order 'n' then abs[KA]=

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

For any square matrix A,prove that A+A' is symmetric.

Let A be a square matrix of order 2x2 then abs[KA] is equal to

For any square matrix A with real number entries.Prove that A+A^' is a symmetric matrix and A-A^' is a skew symmetric matrix.

Prove that any square matrix can be expressed as the sum of a symmetic and a skew symmetric matrix.

For the matrix A=[[2,4],[5,6]] , verify that A+A^T is a symmetric matrix.

For the matrix A=[[1,5],[6,7]] , verify that A+A^T is a symmetric matrix