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Question
If A = `[(1, 3),(2, 4)]`, B = `[(1, 2),(2, 4)]`, C = `[(4, 1),(1, 5)]` and I = `[(1, 0),(0, 1)]`. Find A(B + C) – 14I.
Solution
Given A = `[(1, 3),(2, 4)]`,
B = `[(1, 2),(2, 4)]`,
C = `[(4, 1),(1, 5)]`
and I = `[(1, 0),(0, 1)]`
Then B + C = `[(1, 2),(2, 4)] + [(4, 1),(1, 5)]`
= `[(5, 3),(3, 9)]`
and A(B + C) = `[(1, 3),(2, 4)][(5, 3),(3, 9)]`
= `[(5 + 9, 3 + 27),(10 + 12, 6 + 36)]`
= `[(14, 30),(22, 42)]`
Now A(B + C) – 14I = `[(14, 30),(22, 42)] - [(14, 0),(0, 14)]`
= `[(14 - 14, 30 - 0),(22 - 0, 42 - 14)]`
= `[(0, 30),(22, 28)]`
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