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

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 (1) A A' is symmetric (3) A'A is skew - symmetric (2) A A' is skew - symmetric (4) A^2 is symmetric

A square matrix A is said skew - symmetric matrix if

If B is a square matrix and A is any square matrix of order equl to that of B, prove that B AB is symmetirc or skew symmetric according as A is symmetric or 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.

Let A and B be symmetric matrices of same order. Then A+B is a symmetric matrix, AB-BA is a skew symmetric matrix and AB+BA is a symmetric matrix

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

For any square matrix write whether AA^(T) is symmetric or skew-symmetric.

The inverse of a skew-symmetric matrix of odd order a.is a symmetric matrix b.is a skew- symmetric c.is a diagonal matrix d.does not exist