or Problems 34–37, determine whether the linear transformation T is invertible. Either formally prove that your nswer is correct, or justify your answer by invoking appropriate definitions and theorems to explain the significance f any calculations you do. Clearly state your final answer. a +b а —b T:R² → M2x2 (R) defined by T(a, b) = ( 2а — b 2а + b

or Problems 34–37, determine whether the linear transformation T is invertible. Either formally prove that your nswer is correct, or justify your answer by invoking appropriate definitions and theorems to explain the significance f any calculations you do. Clearly state your final answer. a +b а —b T:R² → M2x2 (R) defined by T(a, b) = ( 2а — b 2а + b

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 48E: For the linear transformation T:R2R2 given by A=[abba] find a and b such that T(12,5)=(13,0).

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Question

For Problems 34-37, determine whether the linear transformation T is invertible. Either formally prove that your
answer is correct, or justify your answer by invoking appropriate definitions and theorems to explain the significance
of any calculations you do. Clearly state your final answer.
a + b
а — b
T:R? → M2x2 (R) defined by T(a, b) = ( |
2a – b 2a +b

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