a function from n equations in n variables whose value at any point is the n x n determinant of the partial derivatives of those equations evaluated at that point
Word origin
named after Karl Gustav Jacob Jacobi
Jacobian in American English
(dʒəˈkoʊbiən)
noun
Ancient Mathematics
a determinant whose elements are the first, partial derivatives of a finite number of functions of the same number of variables, with the elements in each row being the derivatives of the same function with respect to each of the variables
Word origin
after Karl G. J. Jakobi (1804-51), Ger mathematician