Let T : P3 → R° be defined byЗа + b — с — ЗаT (ax' + bx? + cx + d)Let u = x – 2, B = {1, x, x² , x³ }, andЗа — 2b + с — За— За + b + 2с — d0.C =31-1-3Given [T]%-32use the Fundamental Theorem of Matrix Representations to find-6312Pc(T(u)).Ex: 5Pe(T(u)) :

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Let T : P3 → R° be defined by За + b — с — За T (ax³ + bx² + cx + d) За — 2b + с — За 23 – 2, B = {1, x, x² , x³ }, and Let u = -За + b + 2с — d C = 1 -1 -3 Given [T] -3 use the Fundamental Theorem of Matrix Representations to find 1 Pe(T(u)). Ex: 5 Pc(T(u)) =

Let T : P3 → R° be defined by За + b — с — За T (ax³ + bx² + cx + d) За — 2b + с — За 23 – 2, B = {1, x, x² , x³ }, and Let u = -За + b + 2с — d C = 1 -1 -3 Given [T] -3 use the Fundamental Theorem of Matrix Representations to find 1 Pe(T(u)). Ex: 5 Pc(T(u)) =

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.1: Eigenvalues And Eigenvectors

Problem 60E: Define T:R2R2 by T(v)=projuv Where u is a fixed vector in R2. Show that the eigenvalues of A the...

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Question

Let T : P3 → R° be defined by
За + b — с — За
T (ax' + bx? + cx + d)
Let u = x – 2, B = {1, x, x² , x³ }, and
За — 2b + с — За
— За + b + 2с — d
0.
C =
3
1
-1
-3
Given [T]%
-3
2
use the Fundamental Theorem of Matrix Representations to find
-6
3
1
2
Pc(T(u)).
Ex: 5
Pe(T(u)) :

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