Answered: Let L : R^2 → R^2 be a linear…

Let L : R^2 → R^2 be a linear transformation. If L((1, 2)^T) = (2, −3)T and L((1, −1)^T) = (5, 2)^T, determine the values of L((7, 5)^T).

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.CR: Review Exercises

Problem 21CR: Let T be a linear transformation from R2 into R2 such that T(4,2)=(2,2) and T(3,3)=(3,3). Find...

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Question

Let L : R^2 → R^2 be a linear transformation. If L((1, 2)^T) = (2, −3)T and L((1, −1)^T) = (5, 2)^T, determine the values of L((7, 5)^T).

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