Problem 2. Let U = {a+bx+ca²+dr³ € P3 (R): a-b+d=0}, 2(i) Find a finite subset S of P3 (R) such that Span S = U + W. and let W = {a+bx+cz²+da³ € P(R): a+2c-d=0}.
Problem 2. Let U = {a+bx+ca²+dr³ € P3 (R): a-b+d=0}, 2(i) Find a finite subset S of P3 (R) such that Span S = U + W. and let W = {a+bx+cz²+da³ € P(R): a+2c-d=0}.
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:Problem 2.
Let U = {a+bx+cr²+dr³ € P3 (R): a-b+d=0}, and let W = {a+bx+cz²+da³ € P(R): a+2c-d=0}.
2(i) Find a finite subset S of P3 (R) such that Span S = U+W.
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