Answer
True
Work Step by Step
We know any vector of the form $T(x)$ where $x$ belongs to $R^n$ can be written as $Ax$. If $T : R^n → R^m$ is a linear transformation with matrix $A$, then $Rng(T )$ is the linear combination of the columns of $A$.
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Chapter 6 - Linear Transformations - 6.3 The Kernel and Range of a Linear Transformation - True-False Review - Page 405: f
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