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If A=[[3, -3, 4], [2, -3, 4], [0, -1, 1]...

If `A=[[3, -3, 4], [2, -3, 4], [0, -1, 1]]` , show that `A^(-1)=A^3` .

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`A=[[3, -3, 4], [2, -3, 4], [0, -1, 1]]`
`|A|=3(-3+4)+3(2)+4(-2)=1`
`A^2=[[3, -3, 4], [2, -3, 4], [0, -1, 1]] [[3, -3, 4], [2, -3, 4], [0, -1, 1]]`
`=[[3, -4, 4], [0, -1, 0], [-2, 2, -3]]`
`A^2.A=[[3, -4, 4], [0, -1, 0], [-2, 2, -3]] [[3, -3, 4], [2, -3, 4], [0, -1, 1]]`
`=[[1, 0, 0], [0, 1, 0], [0, 0, 1]]`
`A^4=I`
`A^(-1)A^4=A^(-1)I` ...
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