Let P(4) denote the vector space consisting of all polynomials p(x) of degree 4. (a) Are

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Let P(4) denote the vector space consisting of all polynomials p(x) of degree ≤ 4.
(a) Are p1(x) = x3 - 3x + l. p2(x) = x4 - 6x + 3. P3(x) = x4 - 2x3 + 1, linearly independent elements of P(4)?
(b) What is the dimension of the subspace of P(4) spanned by p1, p2, p3?
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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