Lectures related to Linear Algebra: Fundamentals

Covers the process of finding a base from a system of generators in linear algebra.

Covers eigenvalues, eigenvectors, and characteristic polynomials in matrix transformations.

Introduces linear algebra basics, including linear independence, injectivity, surjectivity, and bases in vector spaces.

Explores the concept of linear dependence of vectors in a vector space.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Explores matrix representations of linear maps and their invariance, using examples and special cases.

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

Explores the definition and properties of vector subspaces in linear algebra.

Covers linear algebra basics, including matrices, change of basis, and invertible matrices.