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Question
If A = `[(1, 2),(2, 3)], B = [(1, 2),(3, 1)], C = [(3, 1),(1, 3)]`, find C(B − A).
Sum
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Solution
B − A = `[(1, 2),(3, 1)] - [(1, 2),(2, 3)]`
= `[(1 - 1, 2 - 2),(3 - 2, 1 - 3)]`
= `[(0, 0),(1, -2)]`
C(B − A) = `[(3, 1),(1, 3)] xx [(0, 0),(1, -2)]`
= `[(3 xx 0 + 1 xx 1, 3 xx 0 + 1 xx (-2)),(1 xx 0 + 3 xx 1, 1 xx 0 + 3 xx (-2))]`
= `[(1, -2),(3, -6)]`
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