Are the following statements true or false?
1. if the set of vectors is linearly independent in a subspace then vectors can be removed from to create a basis for
2. if = span{}, then =3.
3. three nonzero vectors that lie in a plane in might form a basis for .
4. if the set of vectors is linearly independent in a subspace then vectors can be added to to create a basis for
5. if the set of vectors spans a subspace then vectors can be removed from to create a basis for