(a) Prove that 1 +t2,1 +t2,1 + 2t +t2 is a basis for the space of quadratic...

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(a) Prove that 1 +t2,1 +t2,1 + 2t +t2 is a basis for the space of quadratic polynomials P(2).
(b) Find the coordinates of p(t) = 1 + 4t + 7t2 in this basis.

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 08:32 AM

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(a) Prove that 1 +t2,1 +t2,1 + 2t +t2 is a basis for the space of quadratic...

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a We have ab tct 2 c 1 1t 2 c 2 tt 2 c 3 12tt 2 provided a c 1 c ...View the full answer

Applied Linear Algebra

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