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 the positive odd integral powers of a kew-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

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

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

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

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

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

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

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

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