Math 54 - Quiz 04, Spring 2006

Math 54 - Quiz 04, Spring 2006 - (a Any basis for W can be...

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Math 54, Quiz 4 Sections 202/203 GSI Carter Name: 1. Let V be the real vector space of all polynomials of degree 7 or less. Let W be the set of all polynomials p in V such that p (4) = 0, which is a subspace of V . For each of the following statements, write the word “true” or “false.”
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Unformatted text preview: (a) Any basis for W can be extended to a basis for V . (b) Any basis for V has some subset which is a basis for W . 2. Find a basis for the null space of the following matrix. ± 2 3 2 2 4 3 3 4 ² 1...
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