Which of the following sets of vectors in P2 are linearly dependent? (a) 2-x+4x?, 3+6x +2x², 2 + 10x – 4x² (b) 3+x+x², 2 – x+ 5x², 4 – 3x? (c) 6-x2 d) 1+3x + 3x?, x+4x², 5 + 6x + 3x²,7+ 2x – x²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Which of the following sets of vectors in P2 are linearly dependent?
(a) 2–x+4x?, 3+6x + 2x?, 2+ 10x – 4x2
(b) 3+x+x?, 2 –x+ 5x?, 4 – 3x2
(c) 6–x?
(d) 1+3x + 3x2, x+4x², 5+ 6x + 3x?, 7+ 2x – x?
Transcribed Image Text:Which of the following sets of vectors in P2 are linearly dependent? (a) 2–x+4x?, 3+6x + 2x?, 2+ 10x – 4x2 (b) 3+x+x?, 2 –x+ 5x?, 4 – 3x2 (c) 6–x? (d) 1+3x + 3x2, x+4x², 5+ 6x + 3x?, 7+ 2x – x?
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