Explains the step-by-step process of diagonalization for linear transformations on finite-dimensional vector spaces.
Covers the criterion for diagonalizability of matrices, focusing on comparing examples and understanding the relationship between algebraic and geometric multiplicities of eigenvalues.
Covers eigenvalues, eigenvectors, characteristic polynomial, and geometric multiplicities in linear transformations.
Explores the canonical basis in linear algebra, focusing on matrix representation, diagonalizability, and characteristic polynomials.
Explores the diagonalization of matrices and the conditions for exact diagonalization, with examples demonstrating the process.
