for the matrix `A=[{:(1,5),(6,7):}],` verify that :
(I) (A+A') is a symmetric matrix.
(ii) (A-A') is a skew symmetric matrix.

For the matrix A=[[1,5,-1],[6,7,2],[0,1,3]] verify that: (i) A+A^(T) is a Symmetric matrix. ii. A-A^(T) 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

Verify that : A+A' is a Symmetric Matrix.

A square matrix A is said skew - symmetric matrix if

If A is skew-symmetric matrix then A^(2) is a symmetric matrix.

The inverse of a skew symmetric matrix is

Symmetric & Skew metric matrix

Which of the following is a skew symmetric matrix?

Prove that inverse of a skew-symmetric matrix (if it exists) is skew-symmetric.

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