Inverse of A using Cayley-Hamilton?

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Homework Statement


　　　2 -1 1
A = -1 2 -1
　　　-1 -1 2
Find A^-1 using Cayley Hamilton Theorem?

Homework Equations


The Attempt at a Solution



http://i.imm.io/lyhB.jpeg I came thus far,

0 = -A^3 + 6A^2 - 11 + 6I

How do I manipulate the above to get A^-1?
 
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Multiply by A^(-1) and simplify?
 

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