Unformatted text preview: w ∈ Span( S ) has a unique expression as a linear combination a 1 v 1 + ··· + a n v n . 4. Find a basis of the subspace of symmetric matrices in M 3 × 3 ( R ). What is the dimension of this subspace? 5. Prove that if V is a vector space over F 2 with ﬁnite dimension n , then V is a ﬁnite set. How many elements does it have?...
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 Fall '08
 GUREVITCH
 Linear Algebra, Algebra, Vector Space, Sets, linearly independent set, Haiman Problem Set

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