Let T: R² R² be defined by T c={[B]+G]} C= Given Pc = [T] (Ps(u)) - -2x1 + ₂ 3x13x2. - =[223] - use the Fundamental Theorem of Matrix Representations to find [7] (PB (u)). Ex: 5 Let u ·[G]-{A·A]}· B and

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
Problem 13EQ
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The Fundamental Theorem of Matrix Representations.

 

Let T: R² R² be defined by T
C-(C)-B)
C=
Given Pc :
=
[T](Ps(u)) =
([22])-[;
Ex: 5
-2x1 + x₂
3x1 32
-[1] B-{]·])} -
and
Let u =
[23] , use the Fundamental Theorem of Matrix Representations to find [T] (PB (u)).
=
Transcribed Image Text:Let T: R² R² be defined by T C-(C)-B) C= Given Pc : = [T](Ps(u)) = ([22])-[; Ex: 5 -2x1 + x₂ 3x1 32 -[1] B-{]·])} - and Let u = [23] , use the Fundamental Theorem of Matrix Representations to find [T] (PB (u)). =
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