Lectures related to Matrix Row and Column Rank: Part 1

Covers the error analysis of a discrete finite difference scheme, focusing on stability and perturbation.

Covers variational methods in mechanics, focusing on the Ritz-Galerkin method.

Presents solutions to exercises on Canonical Correlation Analysis, exploring correlation, Gram matrices, kernel matrices, and vector properties.

Explores manipulation of 3D arrays, barycenters, shape matrices, Jacobians, eigendecomposition, and visualization in elastic solids.

Explores distributional derivatives, continuity, boundedness of linear operators, and weak-* continuity.