Chapter 6.3, Problem 3TFR

For Questions (a)-(f), decide if the given statement is true or false, and give a brief justification for your answer. If true, you can quote a relevant definition or theorem from the text. If false, provide an example, illustration, or brief explanation of why the statement is false.

If $T:{ℝ}^n\to {ℝ}^m$ is a linear transformation with matrix $A$, then $\text{Rng}\left(T\right)$ is the solution set to the homogeneous linear system $Ax=0$.