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

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

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

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

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 )

The inverse of skew - symmetric matrix of odd order

In which of the following type of matrix inverse does not exist always? a. idempotent b. orthogonal c. involuntary d. none of these

In which of the following type of matrix inverse does not exist always? a. idempotent b. orthogonal c. involuntary d. none of these

If A is an idempotent matrix satisfying, (I-0. 4 A)^(-1)=I-alphaA ,w h e r eI is the unit matrix of the same order as that of A , then th value of |9alpha| is equal to ________.

If I is a unit matrix of order 10 , then the determinant of I is equal to