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Question
If A = `[(1, -2),(5, 3)], "B" = [(1, -3),(4, -7)]`, then find the matrix A – 2B + 6I, where I is the unit matrix of order 2.
Solution
A – 2B + 6I = `[(1, -2),(5, 3)] - 2[(1, -3),(4, -7)] + 6[(1, 0),(0, 1)]`
= `[(1, -2),(5, 3)] - [(2, -6),(8, -14)] + [(6, 0),(0, 6)]`
= `[(1 - 2 + 6, -2 + 6 + 0),(5 - 8 + 0, 3 + 14 + 6)]`
= `[(5, 4),(-3, 23)]`
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