MML-08-08: Change of Variables: Univariate & Multivariable Jacobian Determinant Transformations – Practice Quiz

Transform scalar and multivariate densities while tracking inverse maps, support, branch contributions, and Jacobian volume factors. Apply the ideas to polar sampling, triangular coupling layers, coordinate permutations, normalizing-flow scores, and singular-map diagnostics.

35 questions combining single-select and multiselect formats, with worked explanations and feedback for every choice. Prerequisites: QS 8.7, Part 06. Cognitive range: Tier 3–4. The local authored sequence progresses from accessible checks to computations, modeling diagnostics, and derivation recognition within that range.

Reference: Mathematics for Machine Learning, Chapter 6.