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## Homework Statement

Given the matrix A=

1 -1 -1

-1 1 -1

-1 -1 1

Find the eigenvalues.

## Homework Equations

I = identity matrix

## The Attempt at a Solution

det(A-xI) = (1-x)

^{3}- 2 - 3*(1-x) = 0 ⇔

⇔(1-x)

^{3}- 3*(1-x) - 2 = 0

I can't find a way to solve this equation...

Any help would be appreciated!4

Daniel

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