Chapter 4.3, Problem 1TFR

For the problems (a)-(h), 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.

The null space of an $m\times n$ matrix A with real elements is a subspace of $R^m$.