Answered: Let L: R^3 → R^3 be a linear…

Let L: R^3 → R^3 be a linear transformation such that T(1,0,0) = (0,2,0), T(0,1,0) = (0,0,-3), and T(0, 0, 1) = (-1, 0, 0). Find T(1,-4,3).

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.1: Introduction To Linear Transformations

Problem 23E: Let T be a linear transformation from R2 into R2 such that T(1,0)=(1,1) and T(0,1)=(1,1). Find...

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Question

Let L: R^3 → R^3 be a linear transformation such that T(1,0,0) = (0,2,0), T(0,1,0) = (0,0,-3), and T(0, 0, 1) = (-1, 0, 0). Find T(1,-4,3).

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