Beyond Hodge Star: Poincaré Duality and the Intersection Product in Linear Algebra
An exploration of Poincaré duality of matrices and the intersection product of matrices in linear and multilinear algebra, including:
Applications to the classical adjoint / adjugate / adjunct and the mixed adjoint.
Relationship to the box product and compound / exterior powers of matrices.
Generalized Cauchy-Binet, Laplace, and Jacobi theorems.
More videos on linear algebra: • Linear and Multilinear Algebra