Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.
Covers the concept of affine transformations in functions, including shifting and compressing functions.
Covers an overview of convex optimization, affine sets, polyhedra, ellipsoids, and convex functions.
Covers Gaussian random variables, affine transformations, and linear systems driven by Gaussian noise in multivariable control.
Explores convex functions, including checking convexity, transformations, examples, minimization, geometric intuition, Schur's Lemma, distance function, perspective function, and relative entropy.
Explores Gaussian vectors, moment generating functions, independence, density functions, affine transformations, and quadratic forms.
