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# 2c - Quiz 2 Last Name MA Q First Name\LQN 1(4 marks The...

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Unformatted text preview: Quiz 2. Last Name: MA Q First Name: \LQN 1. (4 marks) The matrix Operations appearing in the following statements are always deﬁned. Indicate Whether the statements are always True or sometimes False: (7) (A + B)2 = A2 + 2AB + B2 True E/False (77) (A + AT)T = A + AT 7/ True False (777) (kAfl = kA’l, Where k: is a non—0 scalar True 3/ False (772) 157(24) = t7‘(AT) for any square matrix A 3/ True False 2. (2 marks) Find (AB)23, Where 1 5 0 —3 1 3 ‘5 2 ( 2 0 3 1 05 3 0 _4 A = , B = 2 3 5 [ 2 —2 —4 1 —5 J 3 1 3 —4 1 3 4 —4 1 _2 4 033(5).“ = Z-o+0~\+’s-C—L)+ Hum-(~72) :_.\// 3. (4 marks) Use the deﬁnition of inverse of a 2x2 matrix C d ad—bc —0 a A:[“ 5] &ad—b07é0 :A’12 1 [d ‘5] and matrix arithmetic to solve for B in the following: , 4 —1 (513L312) 1 z [3 4] ’YAZE uiwwss ,{Lo‘TH gives _1_ T 1 l [—\|\=[1-1‘k ADD 31:2)ecn-u sfmzs L 4 ‘85 L i931: [:D‘JJi—B’iz 1i; 4] Answer: B: {#1 -Z mowiéw (by 0. )eorw slim b2 [1 '1 L -1 q L Flhil‘ALL‘f ’TAK€ TQAQ§VQ5FJ @GTH SIDE—S % ”g: 1 ...
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