Lectures related to Linear Algebra Basics

Introduces fundamental concepts in linear algebra, such as vector spaces and eigenvalues.

Covers strategies for matrix operations and the concept of vector spaces.

Explains linear independence, basis, and matrix rank with examples and exercises.

Introduces orthogonal families, orthonormal bases, and projections in linear algebra.

Covers the reduction of a linear application and finding corresponding reduced forms and bases.

Explores the properties of invertible matrices, including unique solutions and linear independence.

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