The Pleasures of Mixed Determinants and Mixed Adjoints in Linear Algebra (Mixed Discriminants)
A brief introduction to the mixed determinant (also known as the mixed discriminant, a type of hyperdeterminant) and mixed adjoint of a linear map and matrix in linear and multilinear algebra, including:
Algebraic and geometric properties
Relationship to the classical determinant and classical adjoint / adjugate / adjunct
Relationship to the box product and compound / exterior power
Generalized Laplace, Cramer, and Cayley-Hamilton theorems
"Well I, uh, I'm not sure how you pronounce it or anything..." - George Costanza
More videos on determinants: • Determinants
More videos on linear algebra: • Linear and Multilinear Algebra