If is an matrix, then consider whether the set null ( ) is a subspace of .

Select true or false for each statement. first problem looking at subspaces

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

 2. This set is a subset of the domain.

 3. This set is a subspace of

 4. This set is a subset of the codomain

You can earn partial credit on this problem.