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A = andBC[1234]andB=[6111],C=[-2-301] find each of the following and state if they are equal. A + CB - Mathematics

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Question

A = `[(1, 2),(3, 4)] and "B" = [(6, 1),(1, 1)], "C" = [(-2, -3),(0, 1)]` find each of the following and state if they are equal. A + CB

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Solution

A + CB

= `[(1, 2),(3, 4)] + [(-2, -3),(0, 1)] xx [(6, 1),(1, 1)]`

= `[(1, 2),(3, 4)] + [(-12 - 3, -2 - 3),(0 + 1, 0 + 1)]`

= `[(1, 2),(3, 4)] + [(-15,  -5),(1, 1)]`

= `[(1 - 15, 2 - 5),(3 + 1, 4 + 1)]`

= `[(-14, -3),(4, 5)]`
We can say  that CA + B ≠ A + CB.

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Chapter 8: Matrices - Exercise 8.3

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