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Let T: P3 → R³ be defined by T(ao + a₁ + a₂x² + ³x³) , and C= (18-8-8) Given [7] Pc (T(u)). = 4 1 -4 0 -2a1 + a2-a3 -2a0-a₁ 3a2 + 3a3 -ao-3a2 + az Let u = 2x² + x³, B = {x³, x², x, 1] -2 0 1 -2 use the Fundamental Theorem of Matrix Representations to find 1 1

Let T: P3 → R³ be defined by T(ao + a₁ + a₂x² + ³x³) , and C= (18-8-8) Given [7] Pc (T(u)). = 4 1 -4 0 -2a1 + a2-a3 -2a0-a₁ 3a2 + 3a3 -ao-3a2 + az Let u = 2x² + x³, B = {x³, x², x, 1] -2 0 1 -2 use the Fundamental Theorem of Matrix Representations to find 1 1

Advanced Engineering Mathematics
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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Let T: P3 → R³ be defined by T (ao + a₁ + a₂x² + 3x³) ---(6-8-6) , and C= Given [T] Pc (T(u)). - Pc (T(u)) = -2a1 + a2-a3 = -2a0a13a2 + 3a3 -αo 3a₂ + az -1 1 4 -4 -2 0 1 1 Ex: 5 Let u = 2x² + x³, B = {x³, x², x, 1} -2 0 1 -2 use the Fundamental Theorem of Matrix Representations to find
Transcribed Image Text:Let T: P3 → R³ be defined by T (ao + a₁ + a₂x² + 3x³) ---(6-8-6) , and C= Given [T] Pc (T(u)). - Pc (T(u)) = -2a1 + a2-a3 = -2a0a13a2 + 3a3 -αo 3a₂ + az -1 1 4 -4 -2 0 1 1 Ex: 5 Let u = 2x² + x³, B = {x³, x², x, 1} -2 0 1 -2 use the Fundamental Theorem of Matrix Representations to find
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