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|dw:1352989319912:dw|

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

yes

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