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2. Is the following set of polynomials linearly independent in P2? Explain your work. (-1+2t + 3t?), (2 – 10t – 3t²), (–2t + t²)

2. Is the following set of polynomials linearly independent in P2? Explain your work. (-1+2t + 3t?), (2 – 10t – 3t²), (–2t + t²)

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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2. Is the following set of polynomials linearly independent in P2? Explain your work. (-1+2t + 3t?), (2 – 10t – 3t²), (–2t + t²)
Transcribed Image Text:2. Is the following set of polynomials linearly independent in P2? Explain your work. (-1+2t + 3t?), (2 – 10t – 3t²), (–2t + t²)
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