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I want to read a little about these:

The characteristic polynomial and minimal polynomial of a $T \in\mathrm{End}(V)$, or given a matrix $A$, finding the Jordan form and when can I say it is diagonalizable.

Which books do you think it's good to read for these topics?

I have Hungerford's algebra book and I totally don't understand the multilinear algebra part. I'll need another book. Thank you!

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    You might look at Roman's advanced linear algebra text, or perhaps Dummit and Foote's 3rd edition. These have all you want and a lot more plus some context beyond cut and dried linear.2012-12-29

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