If A = [(1,-1),(-1,1)] then find A3. – InterviewSolution

1.

If A = [(1,-1),(-1,1)] then find A3.

Answer»

Given A = [(1,-1),(-1,1)]

Then, A² = [(1,-1),(-1,1)][(1,-1),(-1,1)]

= [(1 + 1,-1 + (-1)),(-1 + (-1),1 + 1)]

= [(2,-2),(-2,2)]

So, A³ = A².A = [(2,-2,-2,2)][(1,-1,-1,1)]

= [(2 + 2,-2 - 2),(-2 - 2,2 + 2)]

= [(4,-4),(-4,4)]

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