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MIT 18.06 Linear Algebra, Spring 2010
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hey can somebody help me in proving this , v is a finite vector space and let u be a proper subspace , then show that u has a complementary subspace w, i.e v=u+w(direct sum)
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Find the book Linear Algebra Done Right, 2nd Edition by Sheldon Axler. On page 30 you'll find it. (Proposition 2.13) Search linear algebra done right pdf on Google, for example. I think first link will do.
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