Let A=[0 1 0 0]show that (a I+b A)^n=a^...

Let `A=[0 1 0 0]`show that `(a I+b A)^n=a^n I+n a^(n-1)b A`, where I is the identitymatrix of order 2 and `n in N`.

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Knowledge Check

If (5 + 2 sqrt(6))^(n) = I + f , where I in N, n in N and 0 le f le 1, then I equals

A

`(1)/(f) -f`

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