Given A=[[2, -2],[-4,7]] , compute A^(-1...

Given `A=[[2, -2],[-4,7]]` , compute `A^(-1)` and show that `2A^(-1)=9I-A` .

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`A=[[2, -2],[-4,7]]`
`|A|=2`
`A^(-1)`=(co-factor matrix of A)`/(abs(A))`
`=1/2 [[7,3],[4,2]]`
`9I-A=[[7,3],[4,2]]`
`=2A^(-1)`

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