Decide whether the transformation T (x, y) = (4x − 3y, 3x + 4y) is a similarity transformation. If so, what is the multiplier m?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 10EQ: In Exercises 7-10, give a counterexample to show that the given transformation is not a linear...
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Decide whether the transformation T (x, y) = (4x − 3y, 3x + 4y) is a similarity transformation. If so, what is the multiplier m?

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