Answered: Let T: R2 ⟶ R3 such that T(a1, a2) =…

Let T: R2 ⟶ R3 such that T(a1, a2) = (a1-a2 , a1 , 2a1 + a2) Let β = {(0,1),(1,0)} γ = {(2,2,3),(0,1,1),(1,1,0)} Find [T]βγ If α = {(2,3),(1,2)} Find [T]αγ .

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

Let T: R²⟶ R³ such that T(a₁, a₂) = (a₁-a₂, a₁ , 2a₁ + a₂)

Let β = {(0,1),(1,0)}

γ = {(2,2,3),(0,1,1),(1,1,0)}

Find [T]_β^γ

If α = {(2,3),(1,2)} Find [T]_α^γ.

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