2 Let T: R² → R² be defined by T „¹ ([2]) = [-2,222,₂]·¹ª₁u = [3] B = {[G]· [G]}, and -2x1 + 3 = {[]+[]} C = Given Pc [T](PB (u)) = x1 1 -[(223) use the Fundamental Theorem of Matrix Representations to find [T](P₁ (u)). Ex: 5 Let

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.5: Applications
Problem 30EQ
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Let T: R² → R² be defined by T
„¹ ([2]) = [-2,222,₂]·¹ª₁u = [3] B = {[G]· [G]}, and
-2x1 +
3
= {[]+[]}
C =
Given Pc
[T](PB (u)) =
x1
1
-[(223) use the Fundamental Theorem of Matrix Representations to find [T](P₁ (u)).
Ex: 5
Let
Transcribed Image Text:2 Let T: R² → R² be defined by T „¹ ([2]) = [-2,222,₂]·¹ª₁u = [3] B = {[G]· [G]}, and -2x1 + 3 = {[]+[]} C = Given Pc [T](PB (u)) = x1 1 -[(223) use the Fundamental Theorem of Matrix Representations to find [T](P₁ (u)). Ex: 5 Let
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