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If A = (0, 2),(5, B = (1, -1),(3, 2) and I is Unit Matrix of Order 2 X 2 Find B^2 - Mathematics

Sum

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

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Solution

`B^2 = [(1, -1),(3, 2)][(1, -1), (3, 2)]`

`= [(1- 3, -1-2),(3 + 6, -3 + 4)]`

`= [(-2 ,-3),(9, 1)]`

`B^2A = [(-2, -3),(9, 1)][(0, 2),(5, -2)]`

`= [(0 - 15, -4 + 6),(0+ 5, 18 - 2)]`

`= [(-15, 2),(5, 16)]`

Concept: Addition and Subtraction of Matrices
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Selina Concise Maths Class 10 ICSE
Chapter 9 Matrices
Exercise 9 (C) | Q 2.6 | Page 129
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