3- Determine whether the following polynomials u, v, w in P(t) are linearly dependent or independent: (a) u = f – 4² + 3t + 3, v=r + 2r² + 4t – 1, w= 2r² – f – 3t + 5; (b) u = – 51² – 2t + 3, v=f – 4² – 31 + 4, w= 2r³ – 17² – 71 + 9.

3- Determine whether the following polynomials u, v, w in P(t) are linearly dependent or independent: (a) u = f – 4² + 3t + 3, v=r + 2r² + 4t – 1, w= 2r² – f – 3t + 5; (b) u = – 51² – 2t + 3, v=f – 4² – 31 + 4, w= 2r³ – 17² – 71 + 9.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Determine whether the following polynomials u, v, w in P(t) are linearly dependent or independent:
(a) u = f – 4² + 3t + 3, v=r + 2r² + 4t – 1, w= 2r² – f – 3t + 5;
(b) u = – 51² – 2t + 3, v=f – 4² – 31 + 4, w= 2r³ – 17² – 71 + 9.

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