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

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  1. Chapter 4 Class 12 Determinants
  2. Serial order wise
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Ex 4.5, 5 Find the inverse of each of the matrices (if it exists) 2﷮−2﷮4﷮3﷯﷯ Let A = 2﷮−2﷮4﷮3﷯﷯ We know that A-1 = 1﷮|A|﷯ adj A exists when |A|≠ 0 |A| = 2﷮2﷮4﷮3﷯﷯ = 2 × 3 – 4 × ( – 2) = 6 + 8 = 14 Since |A|≠ 0, A–1 exists Calculating adj A A = 2﷮−2﷮4﷮3﷯﷯ adj(A) = 2﷮−2﷮4﷮3﷯﷯ = 3﷮2﷮−4﷮2﷯﷯ Calculating A–1 A-1 = 1﷮|A|﷯ adj A = 𝟏﷮𝟏𝟒﷯ 𝟑﷮𝟐﷮−𝟒﷮𝟐﷯﷯

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.