Linear Algebra: DiagonalizationExplores the diagonalization of matrices and the conditions for exact diagonalization, with examples demonstrating the process.
Eigenvalues and Eigenvectors in 3DExplores eigenvalues and eigenvectors in 3D linear algebra, covering characteristic polynomials, stability under transformations, and real roots.
Matrix Reduction: Part 1Covers the reduction of a linear transformation in a 2-dimensional space to find a simpler matrix representation.
Modes and Stability of LTI SystemsExplores the analysis of free states and modes in multivariable control systems, emphasizing stability properties and practical examples.
Eigenvalues and EigenvectorsCovers eigenvalues, eigenvectors, characteristic polynomial, and geometric multiplicities in linear transformations.