6(c). (4 points) Determine whether the following statement is True or False; if False, provide a justification explaining why it is incorrect. You will receive 4 points for a correct answer, a penalty of −4 points for an incorrect answer, or 0 points for no answer.

If $E$ is an $m \times m$ elementary matrix and $A$ is an $m \times n$ matrix, then the null space of $EA$ is the same as the null space of $A$.