Lectures related to Canonical Transformations 2

Covers LU factorization, determinants, subspaces, and matrix products.

Explores canonical equations, integrable systems, trajectories, and the symplectic matrix in understanding system dynamics.

Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.

Covers linear systems, diagonal and triangular matrices, and LU factorization.

Covers calculations and algorithms for determining the determinant of a matrix, including permuting rows and multiplying by coefficients.