Explain why S is not a basis for P,. S = {1 – x, 1 – x², -1 – 6x + 7x2} || O sis linearly dependent. O s does not span P2. S is linearly dependent and does not span P,.
Explain why S is not a basis for P,. S = {1 – x, 1 – x², -1 – 6x + 7x2} || O sis linearly dependent. O s does not span P2. 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,.
S = {1 – x, 1 – x², -1 – 6x + 7x²}
O sis linearly dependent.
O s does not span P2
S is linearly dependent and does not span P,.
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