2. Find the matrix of the linear operator L: P₂ (R)→ P₂ (R) defined by L(c+bx+ar²) = c+(a+b)x² with respect to the basis B = {1+2²,-1+2,1-z+x²).
2. Find the matrix of the linear operator L: P₂ (R)→ P₂ (R) defined by L(c+bx+ar²) = c+(a+b)x² with respect to the basis B = {1+2²,-1+2,1-z+x²).
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:7v1 +202 +4v3, L(v₂) = 4v₁ - 202 + V3, L(v3) = 602 + 303.
2. Find the matrix of the linear operator L: P₂ (R) → P₂ (R) defined by
L(c+bx+ar²) = c+(a+b)x²
with respect to the basis B = {1+z²,-1+x,1-x+1²}.
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