Recall that the standard basis of R³ is {E₁, E2, E3}. If T:R³-R² is a transformation and the action of T on the vectors E₁ is as given, find a formula for T(X), where X is any vector in R³. 5 -[] TED-[3] TED-] = T(E₂) = T(E3) = -9 T(E₁) -8-18 y

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 11CM
icon
Related questions
Question
100%
Recall that the standard basis of R³ is {E1, E2, E3}. If T:R³-R² is a transformation and the
action of T on the vectors E; is as given, find a formula for T(X), where X is any vector in R³.
N
[5]
8
-9
T(E₁) =
X
||
0
T(E₂) =
T(E3) =
6
Transcribed Image Text:Recall that the standard basis of R³ is {E1, E2, E3}. If T:R³-R² is a transformation and the action of T on the vectors E; is as given, find a formula for T(X), where X is any vector in R³. N [5] 8 -9 T(E₁) = X || 0 T(E₂) = T(E3) = 6
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer