If A = [8(1 -1 0 2 3 4 0 1 2)] and B = [8(2 2 -4 -4 2 -4 2 -1 5)], then
(a) A−1 = B          (b) A−1 = 6B 
(c) B−1 = B          (d) B−1 = 1/6 A

Ques 25 (MCQ) - Class 12 Sample Papers - If A = [ 1 −1 0 2 3 4 0 1 2 ] - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

part 2 - Question 25 - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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Question 25 If A = [■8(1&−1&0@2&3&4@0&1&2)] and B = [■8(2&2&−4@−4&2&−4@2&−1&5)], then (a) A−1 = B (b) A−1 = 6B (c) B−1 = B (d) B−1 = 1/6 A Let’s try multiplying AB AB = [■8(1&−1&0@2&3&4@0&1&2)] [■8(2&2&−4@−4&2&−4@2&−1&5)] = [■8(2+4+0&2−2+0&−4+4+0@4−12+8&4+6−2&−8−12+20@0−4+4&0+2−2&0−4+10)] = [■8(6&0&0@0&6&0@0&0&6)] = 6[■8(1&0&0@0&1&0@0&0&1)] = 6I Thus, AB = 6I 𝟏/𝟔 AB = I So, we can say B−1 = 𝟏/𝟔 A So, the correct answer is (D)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo