4. Let T: R2 → R² be defined by T = {B.[4]). and B₁ = -x y X- ([])=[ + ][²] = {[1].8]} BVB RUE BUE TOCHR be two ordered bases for R2 T (v) [X112 i) Find [7] B ii) Find [7] B and B2 = Ran B₂ [21

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 16CM
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Question
4. Let T: R² → R² be defined by T
=
and B₁
=
{[3]}
2
-2
i) Find [7] B
B1
ii) Find [T]B₂2
and B₂ =
+ Y
y
([])=[ + ][²]
-
3
{[-1.0]}
2
il
11
1
D
be two ordered bases for R²
(v)
ERRE TO []=[2
EXICA
[2"
B2
Transcribed Image Text:4. Let T: R² → R² be defined by T = and B₁ = {[3]} 2 -2 i) Find [7] B B1 ii) Find [T]B₂2 and B₂ = + Y y ([])=[ + ][²] - 3 {[-1.0]} 2 il 11 1 D be two ordered bases for R² (v) ERRE TO []=[2 EXICA [2" B2
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