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## Homework Statement

[tex]A = \left[\begin{array}{ccccc} 2&2&-1 \\ 1&3&-1 \\ 0&2&1 \end{array}\right][/tex]

Given that [tex]\lambda = 3[/tex] is an eigenvalue of A, find a basis for the eigenspace corresponding to the eigenvalue 3.

## Homework Equations

## The Attempt at a Solution

Is this question asking for the corresponding eigenvector to the eigenvalue [tex]\lambda = 3[/tex] is??

I already found that the corresponding eigenvector to the eigenvalue 3 is: {1, 1, 1}

So, what do I need to write as a basis for the eigenspace corresponding to [tex]\lambda = 3[/tex] ?