Q-1: [5×2 marks] Answer each of the following as True or False justifying your answers: a) If A and B are 5 × 5 matrices such that AB = -BA, then AB is singular. b) (AB)² = A² B², then AB = BA. c) If A is an n x n matrix such that A² a1 a2 a3 C₁+2a1 b₁ a1 |C1+201 d) b₁ b3 b3 = C3 + 2α3 b3 α3 C1 C2 C3 C₂+ 2α₂ b₂ a2 == 0, then (IA)¹ = I + A. e) The vector (1,2,0,4) is a linear combination of the vectors (1,0,1,2), (2,0,2,3) and (3,0,2,2).