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Unformatted text preview: A subspace of a vector space V is a subset H of V such that 1. the zero vector is in H , 2. the sum of two vectors in H is again in H , and 3. any scalar times any vector in H is again in H . EXAMPLES. Determine whether the following are subspaces of an appropriate vector space. Span { v 1 ,..., v p } , where the vectors all belong to some vector space V The set K of all polynomials of degree at most 5 whose value at 1 is 0. All vectors of the form 3 2 ab 3 a + 2 b The set H of all vectors of the form 9 a5 b 2 a 3 a + 2 b HOMEWORK: SECTION 4.1...
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This note was uploaded on 03/06/2010 for the course M 340L taught by Professor Pavlovic during the Spring '08 term at University of Texas at Austin.
 Spring '08
 PAVLOVIC

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