1. Let T : R² → R³ be a linear transformation such that T(e1) = u1 and T(e2)= u2, where e1, e28is the standard unit vectors of R² and u13and u2 = 2. Then find T1-26.

T: ℝ2→ℝ3 be a linear transformation,T(e1)=u1 and T(e2)=u2u1=512, u2=826we have to find T3-2

Answered: 1. Let T : R? → R³ be a linear…

1. Let T : R? → R³ be a linear transformation such that T(e1) = u1 and T(e2) = u2, where e1, e2 8. (:) 3 is the standard unit vectors of R² and u1 1 and u2 12 Then find T -2 2 |6

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.CR: Review Exercises

Problem 20CR: Let T be a linear transformation from R3 into R such that T(1,1,1)=1, T(1,1,0)=2 and T(1,0,0)=3....

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Question

1. Let T : R² → R³ be a linear transformation such that T(e1) = u1 and T(e2)
= u2, where e1, e2
8
is the standard unit vectors of R² and u1
3
and u2 = 2. Then find T
1
-2
6.

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