answer each of the following as True or False justifying your answers: 1 2 a) Let A = [1 0 k] and B -1 2 -11. The value of k for which 1 1 AB A" = 0 is 1. b) If A and B are 2 x 2 skew symmetric...

Extracted text: answer each of the following as True or False justifying your answers: 1 2 a) Let A = [1 0 k] and B -1 2 -11. The value of k for which 1 1 AB A" = 0 is 1. b) If A and B are 2 x 2 skew symmetric matrices, then AB is a scalar matrix. c) Let (A + In)1 = In – A , then A? = 0nxn- d) If A and B are n x n matrices, then |A + B"| = |A" + B|. e) The vectors (3,0,0,0), (0,–1,2,1), (6,2,-6,0) and (3,-2,3,3) in R* are linearly independent.