Question: (a) Given the matrix verify that and show that 2A 2 = A + I. (b) By repeated application of this result show also that

(a) Given the matrix

A mla 1 -1

verify that

A -D and A 2 = (-4) + 2

and show that 2A2 = A + I.

(b) By repeated application of this result show also that for any integer n An = αA + βI for some a, b.

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