Dimension of Vector Subspace Sum

Discusses bases in vector spaces of known dimension and how to determine if a given set is a base.

Covers the concept of the dimension of a subspace in a finite-dimensional vector space.

Covers kernels and images of linear transformations between vector spaces, illustrating properties and providing proofs.

Explores equivalence in vector spaces, covering conditions for statements to be considered equivalent and properties of algebraic bases.

Explores orthogonality, norms, and distances in vector spaces for solving linear systems.