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I am supposed to, without calculation, find 2 linearly independent eigenvectors and a eigenvalue of the following matrix A

5 5 5

5 5 5

5 5 5

The eigenvalue is easy -- it is 15. And I can find one eigenvector, [1 1 1] (written vertically), but another without calculation? Is there a trick that I should see? Of course, zero is also a eigenvalue, but how am I supposed to find the other eigenvector without calculation? Is there something that I should see?

Thanks.

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# Homework Help: Find 2 linearly independent eigenvectors and a eigenvalue

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