Check sibling questions

Ex 4.5, 6 - Find the inverse of each of matrices [1 5 3 2]

Ex 4.5, 6 - Chapter 4 Class 12 Determinants - Part 2


Transcript

Ex 4.5, 6 Find the inverse of each of the matrices (if it exists) [■8(−1&[email protected]−3&2)] Let A = [■8(−1&[email protected]−3&2)] We know that A-1 = 1/(|A|) adj A exists when |A|≠ 0 |A| = |■8(−1&[email protected]−3&2)| = −1 × 2 − (−3) × 5 = −2 + 15 = 13 Since |A|≠ 0, A–1 exists Calculating adj A A =[■8(−1&[email protected]−3&2)] adj(A) = [■8(−1&[email protected]−3&2)] = [■8(2&−[email protected]&−1)] Calculating A–1 A-1 = 1/(|A|) adj A = 𝟏/𝟏𝟑 [■8(𝟐&−𝟓@𝟑&−𝟏)]

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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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.