Unformatted text preview: all your answers. 1. Problems 110 on page 13. This time compute the dimension of S when S is a subspace, and prove your answer is correct. 2. Problem 22 on page 14 of Apostol. Do not appeal to Lemma 1D from class, as it was proved using this homework problem. 3. Problem 24 on page 14 of Apostol. In (d), exhibit a vector space V , a subspace S , and a basis for V which contains no basis for S . 1...
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 Winter '07
 Aschbacher
 Math, Linear Algebra, Algebra, Apostol, Mathematics Math 1b, CALIFORNIA INSTITUTE OF TECHNOLOGY Department of Mathematics Math

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