Check sibling questions

For A = [8(3 1 -1 2)], then 14 A −1 is given by

(a) 14 [8(2 -1 1 3)]    (b) [8(4 -2 2 6)]

(c) [8(2 -1 1 -3)]        (d) 2 [8(-3 -1 1 -2)]  


Transcript

Question 38 For A = [■8(3&1@−1&2)], then 14 A−1 is given by (a) 14 [■8(2&−1@1&3)] (b) [■8(4&−2@2&6)] (c) [■8(2&−1@1&−3)] (d) 2 [■8(−3&−1@1&−2)] We know that A-1 = 1/(|A|) adj A Now, |𝑨| = |■8(3&1@−1&2)| = 3 × 2 – (−1) × 1 = 6 + 1 = 7 So, the correct answer is (B) A =[■8(3&1@−1&2)] Now, adj A = [■8(3&1@−1&2)] = [■8(𝟐&−𝟏@𝟏&𝟑)] Thus, A-1 = 1/(|A|) adj A = 1/7 [■8(2&−1@1&3)] So, 14A-1 = 14 × 1/7 [■8(2&−1@1&3)] = 2 [■8(2&−1@1&3)] = [■8(2 × 2&2 × −1@2 × 1&2 × 3)] = [■8(𝟒&−𝟐@𝟐&𝟔)] So, the correct answer is (B)

  1. Class 12
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About the Author

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