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If A = andBC[1223]andB=[2132],C=[1331] find the matrix C(B – A) - Mathematics

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Question

If A = `[(1, 2),(2, 3)] and "B" = [(2, 1),(3, 2)], "C" = [(1, 3),(3, 1)]` find the matrix C(B – A)

Sum

Solution

A = `[(1, 2),(2, 3)]`

B = `[(2, 1),(3, 2)]`

C = `[(1, 3),(3, 1)]`

B – A = `[(2, 1),(3, 2)] - [(1, 2),(2, 3)]`

= `[(1, -1),(1, -1)]` 

C(B – A) = `[(1, 3),(3, 1)] xx [(1, -1),(1, -1)]`

= `[(1 + 3, -1 - 3),(3 + 1, -3 - 1)]`

= `[(4, -4),(4, - 4)]`.

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Chapter 8: Matrices - Exercise 8.3

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