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Unformatted text preview: , 1]. 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. • Span { v 1 , . . . , v p } • 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 • All vectors of the form 9 a5 b 2 a 3 a + 2 b HOMEWORK: SECTION 4.1...
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 Spring '08
 PAVLOVIC
 Linear Algebra, Algebra, Topology, Addition, Scalar, Vector Space

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