Show that all positive integral powers of a symmetric matrix are symmetric.

Show that positive odd integral powers of a skew-symmetric matrix are skew-symmetric and positive even integral powers of a skew-symmetric matrix are symmetric.

Show that positive odd integral powers of a skew-symmetric matrix are skew-symmetric and positive even integral powers of a skew-symmetric matrix are symmetric.

Show that positive odd integral powers of a skew-symmetric matrix are skew-symmetric and positive even integral powers of a skew-symmetric matrix are symmetric.

STATEMENT -1 All positive odd integral powers of a skew - symmetric matrix are symmetric. STATEMENT-2 : All positive even integral powers of a skew - symmetric matrix are symmetric. STATEMENT-3 If A is a skew - symmetric matrix of even order then |A| is perfect square

If A is a skew-symmetric matrix and n is odd positive integer, then A^n is a skew-symmetric matrix a symmetric matrix a diagonal matrix none of these

The inverse of an invertible symmetric matrix is a symmetric matrix.

A A' is always a symmetric matrix for any matrix A.

Show that the elements on the main diagonal of a skew-symmetric matrix are all zero.

Show that the elements on the main diagonal of a skew-symmetric matrix are all zero.

Show that the elements on the main diagonal of a skew-symmetric matrix are all zero.