Q-1: [5x2 marks] Answer each of the following as True or False justifying your answers: 1...

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Q-1: [5x2 marks] Answer each of the following as True or False justifying your answers: 1 a) Let A = [1 0 k]and B =| -1 2 -1.If ABAT = 0, then k = 1. %3D %3D 1 b) If p(x) = x? – (a + d)x + (ad – bc) and A = " , then p(A) = 0. %3D c) If A is a non-singular matrix, then (I + AB)-'A = A(I + BA)-1. |1 0 x x 0 1 1 1 d) 1 2 0. e) The vector (5,8,9,–5) is a linear combination of the vectors (1,2,2,-1) and (4,9,9,-4). Q-1: [5x2 marks] Answer each of the following as True or False justifying your answers: 1 a) Let A = [1 0 k]and B =| -1 2 -1.If ABAT = 0, then k = 1. %3D %3D 1 b) If p(x) = x? – (a + d)x + (ad – bc) and A = " , then p(A) = 0. %3D c) If A is a non-singular matrix, then (I + AB)-'A = A(I + BA)-1. |1 0 x x 0 1 1 1 d) 1 2 0. e) The vector (5,8,9,–5) is a linear combination of the vectors (1,2,2,-1) and (4,9,9,-4).

Answer rating: 100% (QA)

A o K7 B f10 2 21 AT 0 2 ABAT H 21 I 2k 2K k 9f ABA 0 T 2ui o 1 D K 11 The given statement is false ... View the full answer