Lectures related to Linear Algebra: Systems and Subspaces

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Explores orthogonality between vectors and subspaces, demonstrating practical implications in matrix operations.

Covers vector spaces, operations, and linear independence with examples from polynomials and functions.

Covers linear independence, bases, and coordinate systems with examples and theorems.

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

Covers the concepts of kernel and image of a linear transformation and their relationship with the rank of the matrix.

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