Find T (2, -3, 5) = ( _____________ , _____________ ) Consider the basis S = {V1, V2, V3} for R°,where v1 = (1, 1, 1), v2 = (1, 1, 0), v3 = (1, 0,%3D%3D0),andlet T:R³>R? belinearatransformation such that:T(v1) = (1, 0)%3DT(v2) = (2, -1)%3DT(v3) = (4, 3)

We have to find out T( 2,-3,5).

Math

Algebra

Find T (2, -3, 5) = ( _____________ , _____________ )

Find T (2, -3, 5) = ( _ , _ )

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 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...

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Question

Find T (2, -3, 5) = ( _____________ , _____________ )

Consider the basis S = {V1, V2, V3} for R°,
where v1 = (1, 1, 1), v2 = (1, 1, 0), v3 = (1, 0,
%3D
%3D
0),
and
let T:R³>R? be
linear
a
transformation such that:
T(v1) = (1, 0)
%3D
T(v2) = (2, -1)
%3D
T(v3) = (4, 3)

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