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If A = [(4, -4),(-3, 3)], B = [(2, 3),(-1, -2)], C = [(6, 5),(3, 0)], find AC. - Mathematics

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Question

If A = `[(4, -4),(-3, 3)], B = [(2, 3),(-1, -2)], C = [(6, 5),(3, 0)]`, find AC.

Sum
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Solution

AC = `[(4, -4),(-3, 3)] xx [(6, 5),(3, 0)]`

= `[(4 xx 6 + (-4) xx 3, 4 xx 5 + (-4) xx 0),(-3 xx 6 + 3 xx 3, -3 xx 5 + 3 xx 0)]`

= `[(24 - 12, 20 + 0),(-18 + 9, -15 + 0)]`

= `[(12, 20),(-9, -15)]`

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Chapter 8: Matrices - Exercise 8C [Page 165]

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Nootan Mathematics [English] Class 10 ICSE
Chapter 8 Matrices
Exercise 8C | Q 10. (ii) | Page 165
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