Answer
The Kernel is $ R^{\ 3}$
Work Step by Step
This linear transformation maps the vector$(x,y,z) $ in $R^{\ 3}$ to the point $(0,0,0)$ .
So, the Kernel is $ R^{\ 3}$.
Elementary Linear Algebra 7th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
1-13311-087-8
ISBN 13:
978-1-13311-087-3
Chapter 6 - Linear Transformations - 6.2 The Kernel and Range of a Linear Transformation - 6.2 Exercises - Page 312: 1
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