(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Matrix A is

-4 4 4

-4 4 4

4 -4 -4

It has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis of each eigenspace.

3. The attempt at a solution

I got the eigenvalues:

the one of multiplicity 1 is -4

the one of multiplicity 2 is 0

I can also get the eigenvectors for both:

for -4 : [1 1 -1]^T

for 0: [2 1 1]^T

But... I don't know where to go from here. At all. Any help would be greatly appreciated.

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# Homework Help: Find the eigenvalues and a basis of each eigenspace

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