Q32Multiple choice
Let A = , B= , C = and a = 4, b = –2. −1 3 1 5 1 −2 Show that:
- (a)A + (B + C) = (A + B) + C
- (b)A (BC) = (AB) C MATRICES 57
- (c)(a + b)B = aB + bB
- (d)a (C–A) = aC – aA (e) (AT)T = A (f) (bA)T = b AT (g) (AB)T = BT AT (h) (A –B)C = AC – BC (i) (A – B)T = AT – BT cosθ sinθ cos2θ sin2θ