A skew symmetric matrix S satisfies the rotation `S^(2) +I=0 ` ,where I is a unit matrix , Show that S`S^T`=I

A skew-symmetric matrix A satisfies the relation A^2+I=O ,w h e r e , I is a unit matrix then A is a. idempotent b. orthogonal c. of even order d. odd order

If A is skew symmetric matrix, then I - A is (where I is identity matrix of the order equal to that of A)

If A is a skew symmetric matrix, then B=(I-A)(I+A)^(-1) is (where I is an identity matrix of same order as of A )

A square matrix P satisfies P^(2)=I-P where I is identity matrix. If P^(n)=5I-8P , then n is

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

If A is an idempotent matrix satisfying (I-0.4A)^(-1)=I-alphaA where I is the unit matrix of the same order as that of A then the value of alpha is

if for a matrix A, A^2+I=O , where I is the identity matrix, then A equals

Let A be a non - singular square matrix such that A^(2)=A satisfying (I-0.8A)^(-1)=I-alphaA where I is a unit matrix of the same order as that of A, then the value of -4alpha is equal to

If A is a skew-symmetric matrix of odd order n , then |A|=0

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