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@Supa_Ramga: What I meant to include is that you can do the other sequence the next year. (Unless you have some other requirements.)
What sort of a Linear Algebra text are you studying from? For full effect, you'll want to study proofs in the context of axiomatic systems. There are some good books that teach you this explicitly in simple contexts, like set theory. The text I used was Velleman's _How to Prove It_, which I liked.
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