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If A = [(1, -2),(2, -1)] , B = [(3, 2),(-2, 1)], C = [(4, 5),(5, 4)], compute A(B + C). - Mathematics

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Question

If A = `[(1, -2),(2, -1)], B = [(3, 2),(-2, 1)], C = [(4, 5),(5, 4)]`, compute A(B + C).

Sum
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Solution

B + C = `[(3 + 4, 2 + 5),(-2 + 5, 1 + 4)]`

= `[(7, 7),(3, 5)]`

A = `[(1, -2),(2, -1)]`

B + C = `[(7, 7),(3, 5)]`

A(B + C) = `[(1 xx 7 + (-2) xx 3, 1 xx 7 + (-2) xx 5),(2 xx 7 + (-1) xx 3, 2 xx 7 + (-1) xx 5)]`

= `[(7 - 6, 7 - 10),(14 - 3, 14 - 5)]`

= `[(1, -3),(11, 9)]`

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Chapter 8: Matrices - Exercise 8C [Page 164]

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Nootan Mathematics [English] Class 10 ICSE
Chapter 8 Matrices
Exercise 8C | Q 6. (i) | Page 164
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