Explores the Polar Decomposition Theorem, decomposing deformations into stretches and rotations, discussing uniqueness and implications in continuum mechanics.
Provides a review of linear algebra concepts crucial for convex optimization, covering topics such as vector norms, eigenvalues, and positive semidefinite matrices.
Covers the basics of tensors, including their definition, properties, and decomposition, starting with a motivating example involving Gaussian distributions.