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

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  1. Chapter 4 Class 12 Determinants
  2. Serial order wise
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Ex 4.5, 6 Find the inverse of each of the matrices (if it exists) 1﷮5﷮3﷮2﷯﷯ Let A = 1﷮5﷮3﷮2﷯﷯ We know that A-1 = 1﷮|A|﷯ adj A exists when |A|≠ 0 |A| = 1﷮5﷮3﷮2﷯﷯ = 1 × 2 − 3 × 5 = 2 − 15 = −13 Since |A|≠ 0, A–1 exists Calculating adj A A = 1﷮5﷮3﷮2﷯﷯ adj(A) = 1﷮5﷮3﷮2﷯﷯ = 2﷮−5﷮−3﷮1﷯﷯ Calculating A–1 A-1 = 1﷮|A|﷯ adj A = 1﷮−13﷯ 2﷮−5﷮−3﷮1﷯﷯ = 𝟏﷮𝟏𝟑﷯ −𝟐﷮𝟓﷮𝟑﷮−𝟏﷯﷯

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