A complex valued generalization of this notion is named for Fredholm, and Jacobi's formula expresses the notion of their differential. Noted examples of them include the Cayley-Menger and Wronskian, and the Cauchy-Binet formula generalizes the fact that they are multiplicative maps. Its absolute value can be considered the volume of the parallelpiped which is described by its constituent vectors and they can be calculated via Cramer's rule. For 10 points, name these functions, which, for a two by two matrix, are given by a times d minus b times c.
A complex valued generalization of this notion is named for Fredholm, and Jacobi's formula expresses the notion of their differential. Noted examples of them include the Cayley-Menger and Wronskian, and the Cauchy-Binet formula generalizes the fact that they are multiplicative maps. Its absolute value can be considered the volume of the parallelpiped which is described by its constituent vectors and they can be calculated via Cramer's rule. For 10 points, name these functions, which, for a two by two matrix, are given by a times d minus b times c.
A complex valued generalization of this notion is named for Fredholm, and Jacobi's formula expresses the notion of their differential.
Determinant