if for a matrix A , A to the power 5 = I , THEN A inverse =

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 A2 is A therefore A5 can be written as A2.A2.A which gives us A.A.A which can be further written as A2.A = A.A and it is equal to A now A=I multiplying both sides by A-1 we get A.A-1 = I.A-1 implies A-1 = A-1/A

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