Jordan Normal FormCovers the Jordan Normal Form theorem and invariance of kernels under transformations.
Eigenvalues and Eigenvectors in 3DExplores eigenvalues and eigenvectors in 3D linear algebra, covering characteristic polynomials, stability under transformations, and real roots.
Linear Algebra: DiagonalizationExplores the diagonalization of matrices and the conditions for exact diagonalization, with examples demonstrating the process.
Exponential of Operators and MatricesCovers the exponential of operators and matrices, commutation properties, Jordan normal form, and linear algebra concepts related to linear operators and eigenvalue problems.
Cyclic Subspace DecompositionExplores minimal annihilating polynomials and cyclic invariant subspaces, showcasing their practical applications through matrix computations.