[eigen] Any suggestions for good books about matrix properties?

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  I've been lurking for a long time and really enjoying the direction that eigen2 is proceeding. Unfortunately, at this point with all of the talk about "positive definite matrices" and "partial vs. full pivoting", I've gotten lost. 

Can anyone recommend a good linear algebra book that can explain these concepts, preferably in a textbook format with exercises and solutions?

Anyway, I hope to contribute soon.

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