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Find the characteristic equation of A, the eigenvalues of A, and a basis for the eigenspace...

Find the characteristic equation of A, the eigenvalues of A, and a basis for the eigenspace corresponding to each eigenvalue.

A =
−2 1 6
0 1 1
0 0 9

I found the eigenvalues to be (-2, 1,9).

How do I find the basis for the eigenspace corresponding to each eigenvalue?

(c) a basis for the eigenspace corresponding to each eigenvalue

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