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Question
If A = `[(1 , -2),(2, -1)] and "B" = [(3, 2),(-2, 1)]` Find 2B – A2
Solution
A = `[(1 , -2),(2, -1)]`
B = `[(3, 2),(-2, 1)]`
2B = `2[(3, 2),(-2, 1)]`
= `[(6, 4),(-4, 2)]`
A2 = A x A = `[(1, -2),(2, -1)] [(1, -2),(2, -1)]`
= `[(1 - 4, -2 + 2),(2 - 2, -4 + 1)]`
= `[(-3, 0),(0, -3)]`
∴ 2B – A2 = `[(6, 4),(-4, 2)] - [(3-, 0),(0, -3)]`
= `[(6 - (-3), 4 - 0),(-4 - 0, 2 - (-3))]`
= `[(6 + 3, 4),(-4, 2 + 3)]`
= `[(9, 4),(-4, 5)]`.
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