1. Prove that the transformation G: R'> R' = (xy, y, x – 2) is NOT a linear transformation. Hint: To show G is not a linear transformation, all you need is one particular instance where it fails to meet the required conditions.

Elementary Linear Algebra (MindTap Course List)
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Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 39E: For the linear transformation from Exercise 33, find a T(1,1), b the preimage of (1,1), and c the...
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1. Prove that the transformation G: R²→ R = (xy, y, x – 2) is NOT a linear transformation.
Hint: To show G is not a linear transformation, all you need is one particular instance where it fails to meet
the required conditions.
Transcribed Image Text:1. Prove that the transformation G: R²→ R = (xy, y, x – 2) is NOT a linear transformation. Hint: To show G is not a linear transformation, all you need is one particular instance where it fails to meet the required conditions.
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