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Question
If A = `[(4, -4),(-3, 3)], B = [(2, 3),(-1, -2)], C = [(6, 5),(3, 0)]`, find AB.
Sum
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Solution
AB = `[(4, -4),(-3, 3)] xx [(2, 3),(-1, -2)]`
= `[(4 xx 2 + (-4) xx (-1), 4 xx 3 + (-4) xx (-2)),(-3 xx 2 + 3 xx (-1), -3 xx 3 + 3 xx (-2))]`
= `[(8 + 4, 12 + 8),(-6 - 3, -9 - 6)]`
= `[(12, 20),(-9, - 15)]`
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Chapter 8: Matrices - Exercise 8C [Page 165]
