The determinant of a linear transformation T:V→V (where V is finite-dimensional) is the unique antisymmetric n-variable multilinear map det such that det:(Rn)n→R such that det(e1,…,en)=1. It is defined for a the matrix A of T as det(A)=det(A1,…,An) where the Ai are the columns of A.
Wikidata ID: Q178546