If A=[[4, 5],[ 2, 1]] , then show that A...

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

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`A^(-1)=1/|A|[[1, -5],[-2,4]]`
`|A|=-6`
`A^(-1)=1/6[[-1,5],[2,-4]]`
`A-3I=[[1,5],[2,-2]]`
`2(I+3A^(-1))=[[1,5],[2,-2]]`
`A-3I=2(I+3A^(-1))`

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