Lectures related to Linear Systems: Continuous Time

Explores stability in linear 2D systems, covering fixed points, vector fields, and phase portraits.

Explores matrix similarity, diagonalization, characteristic polynomials, eigenvalues, and eigenvectors in linear algebra.

Explores the properties and examples of diagonalizable matrices, emphasizing the relationship between eigenvectors and eigenvalues.

Covers the fundamentals of linear equations, matrices, and systems of linear equations, including matrix operations and solutions.

Covers the concept of inverse matrices and systems resolution, including the conditions for matrix invertibility and the Gauss-Jordan algorithm.

Explores eigenvalues, eigenvectors, and matrix diagonalization with examples and proofs.

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