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Question
If A = `[(1, 0),(1, 1)]`, then find A3.
Sum
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Solution
A = `[(1, 0),(1, 1)]`
A2 = A.A
= `[(1, 0),(1, 1)][(1, 0),(1, 1)]`
= `[(1 + 0, 0 + 0),(1 + 1, 0 + 1)]`
= `[(1, 0),(2, 1)]`
A3 = A2.A
= `[(1, 0),(2, 1)][(1, 0),(1, 1)]`
A3 = `[(1, 0),(3, 1)]`
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