Let T: P3 → R³ be defined by T (ao + a₁x + a₂x² + а3x³) {6.0·8} and C= 2 = 0 Given [7] Pc (T(u)). 4 Fx-5 = 1 ao - 3a2 + 2a3 3a2 + 2a3 2a0 +a₁ +3a2 – 2a3. 3a⁰-a1 Let u 2x² + x³, B = {x³, x², -3 0 1 0 -1 2 use the Fundamental Theorem of Matrix Representations to fin 6 2 -1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let T: P3 → R³ be defined by
T (ao + a₁x + a₂x² + а3x³)
{6.0·8}
and C=
Given [7]
Pc (T(u)).
=
Pc (T(u)) =
2
0
-3
0
0 -1
2
Ex: 5
4 6
=
ao - 3a2 + 2a3
3a2 + 2a3
3a⁰-a1
2a0 + a₁ + 3a2 - 2a3.
Let u = 2x² + x³, B = {x³, x², x, 1},
1
2 use the Fundamental Theorem of Matrix Representations to find
-1
Transcribed Image Text:Let T: P3 → R³ be defined by T (ao + a₁x + a₂x² + а3x³) {6.0·8} and C= Given [7] Pc (T(u)). = Pc (T(u)) = 2 0 -3 0 0 -1 2 Ex: 5 4 6 = ao - 3a2 + 2a3 3a2 + 2a3 3a⁰-a1 2a0 + a₁ + 3a2 - 2a3. Let u = 2x² + x³, B = {x³, x², x, 1}, 1 2 use the Fundamental Theorem of Matrix Representations to find -1
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