Let T: R² R2 be defined by T ={1}],[]} and C 1 -2 Given Pc = [¹₁²] -1 3 [T]f(Ps(u)) = | Ex: 5 ([₂]) = [ - 3x1 + 2x2 x1 + 2x₂ · [ ²2₂2]· B = { [3] · []} Let u = , use the Fundamental Theorem of Matrix Representations to find [T]º(PÂ(u)).

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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Can I please get some assitance with this problem, I am having trouble with understanding the steps to get the solution. Thanks!

Let T : R² → R² be defined by T
{G]-B]}
and C=
=
Given Pc
X1
X2
Ex: 5
[T]½(PÂ(u)) = [Ex]
=
- 3x1 + 2x2
x1 + 2x₂
Let u =
[¹2₂]. B = ({[2]·H]}
1
- [43] use the Fundamental Theorem of Matrix Representations to find [T]½(PÂ(u)).
Transcribed Image Text:Let T : R² → R² be defined by T {G]-B]} and C= = Given Pc X1 X2 Ex: 5 [T]½(PÂ(u)) = [Ex] = - 3x1 + 2x2 x1 + 2x₂ Let u = [¹2₂]. B = ({[2]·H]} 1 - [43] use the Fundamental Theorem of Matrix Representations to find [T]½(PÂ(u)).
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