Let T R² R² be the linear operator defined by - x2 T([22]) = [ 91 +22] and let B = {u₁, u₂} be the basis for which u₁ Find [T]B. |[T]B = ( ? ? ? ? 1 - [3] ₁2 [3] U₂ = 9

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 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
icon
Related questions
Question
Let T R² R² be the linear operator defined by
9x1 x2
T([22]) = [972]
and let B = {u₁, u₂} be the basis for which u₁
Find [T]B.
(??)
|[T]B = |(
1
- [ 3 ] ₁ ₁₂ = [¹] ₁
9
Transcribed Image Text:Let T R² R² be the linear operator defined by 9x1 x2 T([22]) = [972] and let B = {u₁, u₂} be the basis for which u₁ Find [T]B. (??) |[T]B = |( 1 - [ 3 ] ₁ ₁₂ = [¹] ₁ 9
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer