Let T: P3 R³ be defined by T (αo + a₁x + a₂x² + a³x³) {0.00} 3 G and C = Given [7] Pc (T(u)). Pc (T(u)) = -2 -1 -1 2 Ex: 5 2 1 -2 = ao + 2a1 2a2 + 3a3 +3a13a2 + 2a3 -2a0a₁a2 + 3a3. . Let u = -2 + x³, B = {x³, x², x, 1}, 1 -1 , use the Fundamental Theorem of Matrix Representations to find

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 (αo + a₁x + a₂x² + a³x³)
{0.00}
3
G
and C =
Given [7]
Pc (T(u)).
Pc (T(u)) =
-2
-1 -1
2
Ex: 5
2
1
-2
=
ao + 2a1
2a2 + 3a3
+3a13a2 + 2a3
-2a0a₁a2 + 3a3.
. Let u = -2 + x³, B = {x³, x², x, 1},
1
-1 , use the Fundamental Theorem of Matrix Representations to find
Transcribed Image Text:Let T: P3 R³ be defined by T (αo + a₁x + a₂x² + a³x³) {0.00} 3 G and C = Given [7] Pc (T(u)). Pc (T(u)) = -2 -1 -1 2 Ex: 5 2 1 -2 = ao + 2a1 2a2 + 3a3 +3a13a2 + 2a3 -2a0a₁a2 + 3a3. . Let u = -2 + x³, B = {x³, x², x, 1}, 1 -1 , use the Fundamental Theorem of Matrix Representations to find
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