Lectures related to Linear Systems: Stability and Solutions

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

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

Explores the frequency response of RLC circuits, Bode diagrams, OPAMP history, and modern engineering applications.

Explores linear systems in sinusoidal regime, discussing frequency response, transfer functions, stability, quadripoles, and Bode diagrams.

Covers the concept of Singular Value Decomposition (SVD) for compressing information in matrices and images.

Covers matrix eigenvalues, eigenvectors, and their linear independence.

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.