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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&−[email protected]&3)] Let A = [■8(2&−[email protected]&3)] We know that A-1 = 1/(|A|) adj A exists when |A|≠ 0 |A| = |■8(2&[email protected]&3)| = 2 × 3 – 4 × ( – 2) = 6 + 8 = 14 Since |A|≠ 0, A–1 exists Calculating adj A A =[■8(2&−[email protected]&3)] adj(A) = [■8(2&−[email protected]&3)] = [■8(3&[email protected]−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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.