Abstract Linear Algebra question SEe attached image Which of

Abstract Linear Algebra question. SEe attached image.

Which of the following claims are true? Every (finite) spanning set of a vector space contains a basis of that vector space. Every vector space of dimension 5 contains a subspace of dimension 3. Every linearly independent set of vectors in a vector space contains a basis. If a subspace U of a vector space V has dimension 3, and another subspace U\' of the same vector space V has dimension 2, then V must have dimension at least 5.

Solution

1) every spanning set of a vector space contains a bassis of that vector space.

2) every vector space of dimension 5 contains a subspace of dimension 3.

are true statements.