If A = [025-2], B = [1-132] and I is a unit matrix of order 2 × 2, find AB - Mathematics

If A = `[(0, 2),(5, -2)]`, B = `[(1, -1),(3, 2)]` and I is a unit matrix of order 2 × 2, find AB

Sum

AB = `[(0, 2),(5, -2)][(1, -1),(3, 2)]`

= `[(0 xx 1 + 2 xx 3, 0 xx (-1) + 2 xx 2),(5 xx 1 + (-2) xx 3, 5 xx (-1) + (-2) xx 2)]`

= `[(0 + 6, 0 + 4), (5 - 6, -5 - 4)]`

= `[(6, 4),(-1, -9)]`

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Chapter 9: Matrices - Exercise 9 (C) [Page 129]

Chapter 9 Matrices
Exercise 9 (C) | Q 2.1 | Page 129

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