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If A=((4,-3),(5,2)), then show that A ...

If `A=((4,-3),(5,2))`, then show that `A + 23 A^-1= 6I`

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(i) if A=[{:(1,-1),(2,3):}], then show that A^(2)-4A+5I=O. (ii) if f(x)=x^(2)+3x-5and A=[{:(2,-1),(4,3):}], then find f(A).