33. Let V - P3 be the vector space of polynomials of degree <3, and let p₁(x) = (2-x)² and p₂(x) = (2x + 1)2. Determine if g(x) = x² + 1 is in Span (P₁, P2).
33. Let V - P3 be the vector space of polynomials of degree <3, and let p₁(x) = (2-x)² and p₂(x) = (2x + 1)2. Determine if g(x) = x² + 1 is in Span (P₁, P2).
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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![33. Let V = P3 be the vector space of polynomials of degree <3, and let p₁(x) = (2-x)²
and p2(x) = (2x + 1)2. Determine if g(x) = x² + 1 is in Span(P₁, P2).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1cf29de1-e3f4-4dce-af3b-387ce3b73ca3%2F9beeb112-a171-4487-997a-2230b116d51b%2F08cwz8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:33. Let V = P3 be the vector space of polynomials of degree <3, and let p₁(x) = (2-x)²
and p2(x) = (2x + 1)2. Determine if g(x) = x² + 1 is in Span(P₁, P2).
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