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Question
If A = `[(1, "a"),(0, 1)]`, then compute A4
Solution
A = `[(1, "a"),(0, 1)]`
A2 = A . A
= `[(1, "a"),(0, 1)] [(1, "a"),(0, 1)]`
= `[(1 + 0, "a" + "a"),(0 + 0, 0 + 1)]`
A2 = `[(1, 2"a"),(0, 1)]`
A4 = A2 × A2
= `[(1, "a"),(0, 1)] [(1, 2"a"),(0, 1)]`
A4 = `[(1 + 0, 2"a" + 2"a"),(0 + 0, 0 + 1)]`
A4 = `[(1, 4"a"),(0, 1)]`
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