If $A$ is an $3\times 6$ matrix, then consider whether the set null($A$) is a subspace of ${\mathbb R}^{3}$.

Select true or false for each statement.

True False  1. This set contains the zero vector and is closed under vector addition and scalar multiplication.

True False  2. This set is a subset of the domain.

True False  3. This set is a subspace of ${\mathbb R}^3$

True False  4. This set is a subset of the codomain