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If A = andB[1221]andB=[2112], fin A(BA) - Mathematics

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Question

If A = `[(1, 2),(2, 1)] and "B" = [(2, 1),(1, 2)]`, fin A(BA)

Sum

Solution

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

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

BA = `[(2, 1),(1, 2)] xx [(1, 2),(2, 1)]`

= `[(2 + 2, 4 + 1),(1 + 4 , 2 + 2)]`

= `[(4, 5),(5, 4)]`

A(BA) = `[(1, 2),(2, 1)] xx [(4, 5),(5, 4)]`

= `[(4 + 10, 5 + 8),(8 + 5, 10 + 4)]`

= `[(14, 13),(13, 14)]`.

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Chapter 8: Matrices - Exercise 8.3

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