If A is a square matrix, then A is skew symmetric if

If A is a square matrix, then (1) A A' is symmetric (3) A'A is skew - symmetric (2) A A' is skew - symmetric (4) A^2 is symmetric

If A is any square matrix,then A+A^(T) is skew symmetric

If A is a square matrix,then AA is a (a) skew- symmetric matrix (b) symmetric matrix (c) diagonal matrix (d) none of these

If A is a square matrix then '(A-A') is a skew-symmetric matrix.

If A is a square matrix, then A A is a (a) skew-symmetric matrix (b) symmetric matrix (c) diagonal matrix (d) none of these

Prove that if A is a square matrix then ,(i) (A+A') is a symmetric metrix. (ii) (A-A') is a skew symmetric matrix.

State ‘True’ or ‘False’. For any square matrix A, A-A' is skew symmetric.

Let A be a square matrix and k be a scalar. Prove that (i) If A is symmetric, then kA is symmetric. (ii) If A is skew-symmetric, then kA is skew-symmetric.

A square matrix A is said skew - symmetric matrix if

True or False statements : If A is any square matrix, then (A+A')/2 is always skew-symmetric.