Matrix Reduction: Part 1Covers the reduction of a linear transformation in a 2-dimensional space to find a simpler matrix representation.
Eigenvalues and Eigenvectors in 3DExplores eigenvalues and eigenvectors in 3D linear algebra, covering characteristic polynomials, stability under transformations, and real roots.
Diagonalization of MatricesExplores the diagonalization of matrices through eigenvalues and eigenvectors, emphasizing the importance of bases and subspaces.
Calcul de valeurs propresCovers the calculation of eigenvalues and eigenvectors, emphasizing their significance and applications.
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.