Linear Algebra: Matrix OperationsExplores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.
Spectral Theorem RecapRevisits the spectral theorem for symmetric matrices, emphasizing orthogonally diagonalizable properties and its equivalence with symmetric bilinear forms.
Linear Algebra: DiagonalizationExplores the diagonalization of matrices and the conditions for exact diagonalization, with examples demonstrating the process.
Quadratic Forms in IR³Explores quadratic forms in IR³, matrix properties, diagonalization, and positive definite matrices.