Lectures related to Linear Systems: Stability and Solutions

Covers the solution of a 2x2 system of differential equations using matrix notation and explores stability methods and specific cases.

Explores linear transformations, matrices, injective, surjective, and bijective properties, matrix operations, and special matrix types.

Explores the spectral decomposition of symmetric matrices, including diagonalization and orthogonal basis change matrices.

Covers the analysis of linear systems in sinusoidal regime and the construction of Bode diagrams for cascaded systems.