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

Transcript

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 =

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