Can someone help me with a linear algebra question? Find eigenvalues and eigenvectors of the following matrix: A=[ -2 1; -4 -1] Thanks!

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Can someone help me with a linear algebra question? Find eigenvalues and eigenvectors of the following matrix: A=[ -2 1; -4 -1] Thanks!

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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I was able to get that far, this eigen equation has complex roots, right?
yes

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Could you help me find the roots? I'm not sure how to do it without a calculator or wolfram.
just plugin into Wolf
http://www.wolframalpha.com/input/?i=x^2+%2B+3x+%2B+6+%3D+0
use those two eigen values to find eigen vectors
Thanks, I think I got it

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