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If A = [025-2], B = [1-132] and I is a unit matrix of order 2 × 2, find A2 - Mathematics

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Question

If A = `[(0, 2),(5, -2)]`, B = `[(1, -1),(3, 2)]` and I is a unit matrix of order 2 × 2, find A2

Sum

Solution

A2 = `[(0, 2),(5, -2)][(0, 2),(5, -2)]`

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

= `[(0 + 10, 0 - 4), (0 - 10, 10+ 4)]`

= `[(10, -4),(-10, 14)]`

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

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Selina Mathematics [English] Class 10 ICSE
Chapter 9 Matrices
Exercise 9 (C) | Q 2.5 | Page 129

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