Explain why S is not a basis for P,. .2 S = (1 - x, 1 - x², -1 – 8x + 9x²} O s is linearly dependent. S does not span P, S is linearly dependent and does not span P,.
Explain why S is not a basis for P,. .2 S = (1 - x, 1 - x², -1 – 8x + 9x²} O s is linearly dependent. S does not span P, S is linearly dependent and does not span P,.
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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Transcribed Image Text:Explain why S is not a basis for P,.
2
S = {1 - x, 1 – x², -1 – 8x + 9x²}
ilm
O s is linearly dependent.
S does not span P,.
S is linearly dependent and does not span P,.
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