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Unformatted text preview: u ∈ H and for each scalar c, c u ∈ H . — Winter 2008 – p. 4/10 Examples For any u ∈ V and every scalar c 1. u = 2. c = 3.u = (1) u where is the zero vector. — Winter 2008 – p. 5/10 Example Let H = { } be a subset of V . Is H a subspace of V ? — Winter 2008 – p. 6/10 Example Is R 2 a subspace of R 3 ? — Winter 2008 – p. 7/10 Example Is H = s t ; s, t ∈ R a subspace of R 3 ? — Winter 2008 – p. 8/10 Example Let H = span { v 1 , v 2 } where v 1 , v 2 ∈ V . Show H is a subspace of V . — Winter 2008 – p. 9/10 Example H = 2 tt ; t ∈ R . Show H is a subspace of R 3 . — Winter 2008 – p. 10/10...
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 Fall '10
 LaniHaque
 Math, Algebra, Equations, Vectors, Vector Space

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