THE GATEBOOK

Normalization Lectures

If is a square matrix such that , then

A.

B.

C.

D.

ANS should be B.

(I+A) ^3= I^3 + A^3 + 3I^2A + 3IA^2 = I + A + 3A + 3A = I+ 7A [ A^2= A, A^3= A^2 *A= A^2= A]

Therefore= I +7A - 7A= I