Question If $A$ is a $3 \times 5$ matrix, then $\operatorname{rank}(A) < 3$.

Studdy Solution
Based on the rank-nullity theorem and the dimensions of matrix $A$, we can conclude that the nullity of $A$ must be at least 2. Therefore, the correct statement is:
$$\operatorname{nullity}(A) \geq 2$$
This is the only statement that is always true regardless of the specific entries in matrix $A$.
The solution to the problem is $\operatorname{nullity}(A) \geq 2$.