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If A=[[2,-1, 1],[-1, 2,-1], [1,-1, 2]] ....

If `A=[[2,-1, 1],[-1, 2,-1], [1,-1, 2]]` . Verify that `A^3-6A^2+9A-4I=O` and hence find `A^(-1)` .

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Consider, `A^2=[[2,-1, 1],[-1, 2,-1], [1,-1, 2]] [[2,-1, 1],[-1, 2,-1], [1,-1, 2]]`
`=[[6, -5, 5], [-5, 6, -5], [5, -5, 6]]`
`A ^3 =A ^2 A`
`=[[6, -5, 5], [-5, 6, -5], [5, -5, 6]] [[2,-1, 1],[-1, 2,-1], [1,-1, 2]]` ...
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