Define po, Pi, P2, Рз € Р3 so that po (x) — 1, p (х) — х, р2(х) %3D х? and p3(x) 3 х3 {po, P1, P2, p3 } is the standard basis for P3. for all x E R. Then B = If p(x) = 5 + 9x² – 2x³ and [p]B = (c1, c2, C3, C4), what is c3? %3D Answer:

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Define po, P1, P2, P3 E P3 so that po (x) = 1, p1 (x) = x, p2(x) = x² and p3 (x) = x'
for all x E R. Then B = {po, P1 , P2 , P3 } is the standard basis for P3.
If p(x) = 5 + 9x² – 2x³ and [p]B = (c1, c2, C3, C4), what is c3?
Answer:
Transcribed Image Text:Define po, P1, P2, P3 E P3 so that po (x) = 1, p1 (x) = x, p2(x) = x² and p3 (x) = x' for all x E R. Then B = {po, P1 , P2 , P3 } is the standard basis for P3. If p(x) = 5 + 9x² – 2x³ and [p]B = (c1, c2, C3, C4), what is c3? Answer:
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