Let T: R² R² be defined by T Let B := { m₁ = [ ^ ^"] , ' = [ 5 ] } am³ € = {v₁ = [1] · v₂ = [7²]} and V2 ¹([2]) = [²₂] x1 X2 Find [T], the matrix representation of Twith respect to the bases B and C. [T = Ex: 5 +

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 8E
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Hi can I please get some help with this problem, the steps are unclear to me. Thanks!

Let T: R² R² be defined by T
Let B
:= { m₁ = [ ^ ^"] , ' = [ 5 ] } am³ € = { v₁ = [1] · v₂ = [7²]}
and
V2
¹([2]) = [²₂]
*1
X2
Find [T], the matrix representation of Twith respect to the bases B and C.
[T
=
Ex: 5
Transcribed Image Text:Let T: R² R² be defined by T Let B := { m₁ = [ ^ ^"] , ' = [ 5 ] } am³ € = { v₁ = [1] · v₂ = [7²]} and V2 ¹([2]) = [²₂] *1 X2 Find [T], the matrix representation of Twith respect to the bases B and C. [T = Ex: 5
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