Recall that the standard basis of R³ is {E₁, E2, E3}. If T:R³→R² is a transformation and the action of I on the vectors E¡ is as given find a formula for T(X), where X is any vector in R³. -[7] TED-TE-[5] T(E₂) = T(E3) = 10 7 T(E₁) = -- 0 = 0 0.

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

Recall that the standard basis of R³ is {E₁, E2, E3}. If T:R³→R² is a transformation and the action of I on the vectors E, is as given,
find a formula for T(X), where X is any vector in R³.
5
-5
- [7] TED- ] TED-[i]
T(E₂) =
T(E3) =
10
7
T(E₁) =
0
--1
= 0
0.
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 I on the vectors E, is as given, find a formula for T(X), where X is any vector in R³. 5 -5 - [7] TED- ] TED-[i] T(E₂) = T(E3) = 10 7 T(E₁) = 0 --1 = 0 0.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer