- #1

- 13

- 0

## Homework Statement

we have this matrix

6 - 1 0

-1 -1 -1

0 -1 1

We need to find it's eigenvalues and eigenvectors

## Homework Equations

## The Attempt at a Solution

[/B]I wrote the characteristic equation - det(A- λxunit matrix) to find the roots and got (-λ^3)+8(λ^2)+λ-6 instead of -λ(^3)+6(λ^2)+3λ-13, which restricts me from getting the eigenvalues and vectors in the end. I don't think I'm expanding the determinant correctly, even though I know the -1 on r1, c2 turns into a +.

Do I have to apply cofactors to every row, or just to the coefficients of the 2x2 matrix determinants (6 -(-1) and 0)

These are the supposed answers