help Q-1: Answer each of the following as True or False justifying your answers:100 1 11a) If A = ; 1, then A100 = ()* ;b) For any three matrices A, B and C, if AB= BA and BC = CB, then AC = CA.1 [01c) If (I – 2A")-1 = then A = I:d) If A and B are 4 x 4 nonsingular matrices such that |2A-²B²| = 32, then|A| = B2e) Let S = {(1,0,0,0), (01,0,0), (2,3,5a, 0), (a, 0,2, a – 2)} be set of vectors inR*. The set S is linearly independent if and only if a + 0.2

We have to check which statement is true and which is false. As per policy, we are answering the…

Q-1: Answer each of the following as True or False justifying your answers: a) If A = ; , then A100 , b) For any three matrices A, B and C, if AB = BA and BC = CB, then AC = CA. c) If (I – 2A")-1 = [{ ) then A = d) If A and B are 4 × 4 nonsingular matrices such that |2A¬ªB²| = 32, then 1 [0 |A| = LB2 e) Let S = {(1,0,0,0), (01,0,0), (2,3,5a,0), (a, 0,2, a – 2)} be set of vectors in R*. The set S is linearly independent if and only if a + 0. %3D