3-Determine whether the following polynomials u, v, w in P(1) are linearly dependent or independent:(a) u = – 41² + 3t + 3, v=r° + 2r² +41 – 1, w= 2r³ – ² – 31 + 5;(b) u = – 5r² – 21 + 3, v=r – 4? – 31 + 4, w= 2r³ – 172 – 71 + 9.

Answered: Image /qna-images/answer/343af865-4b8c-401c-a46a-df0d1c65f384.jpg

Answered: u = ? - 5r – 21 +3, v=r - 4² – 31+4, w=…

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u = ? - 5r – 21 +3, v=r - 4² – 31+4, w= 2r – 17? – 71+9.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 16CM

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Question

3-
Determine whether the following polynomials u, v, w in P(1) are linearly dependent or independent:
(a) u = – 41² + 3t + 3, v=r° + 2r² +41 – 1, w= 2r³ – ² – 31 + 5;
(b) u = – 5r² – 21 + 3, v=r – 4? – 31 + 4, w= 2r³ – 172 – 71 + 9.

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