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Ex 4.5, 5 - Find inverse of each of matrices - Class 12 NCERT - Ex 4.5

Ex 4.5, 5 - Chapter 4 Class 12 Determinants - Part 2

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Ex 4.5, 5 Find the inverse of each of the matrices (if it exists) [■8(2&−2@4&3)] Let A = [■8(2&−2@4&3)] We know that A-1 = 1/(|A|) adj A exists when |A|≠ 0 |A| = |■8(2&2@4&3)| = 2 × 3 – 4 × ( – 2) = 6 + 8 = 14 Since |A|≠ 0, A–1 exists Calculating adj A A =[■8(2&−2@4&3)] adj(A) = [■8(2&−2@4&3)] = [■8(3&2@−4&2)] Calculating A–1 A-1 = 1/(|A|) adj A = 𝟏/𝟏𝟒 [■8(𝟑&𝟐@−𝟒&𝟐)]

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.