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I am currently reading a bit of real analysis from Dr Pugh's book and I intend to study abstract algebra from Dummit and Foote in a short time.

However, I wish to explore linear algebra in the meantime and I was wondering if someone could recommend a short linear algebra text(100-150 pages) which covers important topics well like Vector spaces, bases , dimensions,operations on matrices, eigenvalues and related topics which are necessary for multivariate analysis.I would appreciate a rigorous book aimed at pure mathematics students.

Thanks!

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You can read two chapters from I.N. Herstein's Topics in Algebra; namely Vector Spaces and Linear Transformations. –  Shahab Oct 7 '12 at 12:34
    
Are you sure that the later chapters are logically independent of the previous ones? –  user41685 Oct 7 '12 at 12:44
    
Almost 95%. You can always look up an odd definition or two (such as what is the definition of field, what is an abelian group etc) from the previous chapters. –  Shahab Oct 7 '12 at 12:51
    
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If you already have some experience with linear algebra, I think Halmos' Finite Dimensional Vector Spaces fits the bill. It's actually around 200 pages, but if you were short on time you can cover the first 150 pages and still get way more than you need for multivariate analysis.

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