2. (a) Show that the polynomials p, (x)=1+x, p,(x)=1+2x–x², p;(x)=x+x² are Р. linearly independent. (b) Decide if polynomial q(x)=-1+x is in the span{p,(x), P. (x), p; (x)} .
2. (a) Show that the polynomials p, (x)=1+x, p,(x)=1+2x–x², p;(x)=x+x² are Р. linearly independent. (b) Decide if polynomial q(x)=-1+x is in the span{p,(x), P. (x), p; (x)} .
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:2. (a) Show that the polynomials p, (x)=1+x, p,(x)=1+2.x – x², p;(x)=x+x² are
linearly independent.
(b) Decide if polynomial q(x)=-1+x is in the span{p, (x), P2 (x), P;(x)} .
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