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if A=[{:(3,1),(-1,2):}],show that A^(2)...

`if A=[{:(3,1),(-1,2):}],`show that `A^(2)-5A+7I=0.`

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If A=[{:(3,1),(-1,2):}] , show that A^(2)-5A+7I=O .

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Show that A=[{:(5,3),(-1,-2):}] satisfies the equation A^(2)=3A-7I=0 and hence find A^(-1) .

If A=[{:(1,2),(4,1):}] , find A^(2)+2A+7I .