Vector Subspaces in R3: Bases and Equations

Introduces linear combinations of vectors in R^n and their properties.

Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

Explores vector subspaces in R4, symmetric matrices, basis vectors, and canonical forms.

Explores linear dependence and independence of vectors, including subspaces generation and corollaries.