3. Let the transformation T : R² → R³ via T(x, y) = (√√, xy, √7). Determine whether T is a linear transforma- tion.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 8EQ: In Exercises 1-12, determine whether T is a linear transformation. 8. defined by
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3. Let the transformation T: R² → R³ via T(x, y) = (√, xy, √y). Determine whether T is a linear transforma-
tion.
Transcribed Image Text:3. Let the transformation T: R² → R³ via T(x, y) = (√, xy, √y). Determine whether T is a linear transforma- tion.
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