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Question
If A' = `[(-2, 3),(1, 2)]` and B = `[(-1, 0),(1, 2)]`, then find (A + 2B)'
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Solution
Given, A' = `[(-2, 3),(1, 2)]` and B = `[(-1, 0),(1, 2)]`
So, A = `[(-2, 1),(3, 2)]` ...[∵ (A)' = A]
Now, (A + 2B) = `[(-2, 1),(3, 2)] + 2[(-1, 0),(1, 2)]`
= `[(-2, 1),(3, 2)] + [(-2, 0),(2, 4)]`
= `[(-2 - 2, 1 + 0),(3 + 2, 2 + 4)]`
= `[(-4, 1),(5, 6)]`
(A + 2B)' = `[(-4, 5), (1, 6)]`
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