Tips for proof based linear algebra?

[Cpt Qwark]

What would be a good way to prepare for a final linear algebra exam (vectors, planes, matrices) where every question is asking for a proof?
Thanks

 

[micromass]

Practice. Do a lot of problems, especially hard ones. There is no other way.

 

[HallsofIvy]

Absolutely essential- learn the definitions! And, by that, I don't mean "get a general idea of what is meant". In mathematics, definitions are "working definitions". You use the precise words of the definition in proofs. So read a number of proofs, observe how they use the words in definitions and previous proofs in the proofs themselves. Then, as micromass said, "practice, practice, practice"!