Lectures related to Linear Algebra: Vector Subspaces and Combinations

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

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

Explains linear combinations and spanned subspaces by a vector family in the context of vector spaces.

Covers matrix equations as linear combinations, vector spaces, and geometric interpretations.

Covers the definition of vector spaces, subspaces, and linear combinations of vectors.

Covers the concept of the sum of vector subspaces in an IR-vector space.