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8. Consider the set of 4-th degree polynomials S = {t4 + t, 3t³ - 1,5t², t + 2} a. Is the set S independent or dependent? b. Can set S be used to represent all possible 4th degree polynomials?

8. Consider the set of 4-th degree polynomials S = {t4 + t, 3t³ - 1,5t², t + 2} a. Is the set S independent or dependent? b. Can set S be used to represent all possible 4th degree polynomials?

Advanced Engineering Mathematics
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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Subspace? 8. Consider the set of 4-th degree polynomials S = {t4 + t, 3t3 - 1,5t², t + 2} a. Is the set S independent or dependent? b. Can set S be used to represent all possible 4th degree polynomials? го 2 answer the b part 01 Show Transcribed Text
Transcribed Image Text:Subspace? 8. Consider the set of 4-th degree polynomials S = {t4 + t, 3t3 - 1,5t², t + 2} a. Is the set S independent or dependent? b. Can set S be used to represent all possible 4th degree polynomials? го 2 answer the b part 01 Show Transcribed Text
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