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Solve the following equations by matrix ...

Solve the following equations by matrix method.
If `A = [(2,-1,1),(-1,2,-1),(1,-1,2)]` verify that `A^(3) - 6A^(2) + 9A = 4 I = 0` and hence, find `A^(-1)`.

A

`A^2-6A+9I`

B

`1/4(A^2-6A+9I)`

C

`1/4(A^2-6A+9I)`

D

`1/2(A^2-2A+6I)`

Text Solution

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The correct Answer is:
B
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