Lectures related to Diagonalization Method: Application and Properties

Covers systems of n linear first-order ODEs with constant coupling matrix A and explores properties of solutions and the superposition principle.

Explores the diagonalization of linear maps by finding a basis formed by eigenvectors.

Explores diagonalization conditions, bases by eigenvectors, and generalization of concepts.

Explores diagonalization of symmetric matrices and their eigenvalues, emphasizing orthogonal properties.

Covers the concept of diagonalization of matrices through the study of eigenvectors and eigenvalues.

Explores eigenvalues and eigenvectors in 3D linear algebra, covering characteristic polynomials, stability under transformations, and real roots.