This function is alternating and multilinear, and the Wronskian and Hessian types of these are useful in the study of differential equations.
This function is alternating and multilinear, and the Wronskian and Hessian types of these are useful in the study of differential equations. One of these can give the volume change factor of an integral under a coordinate change and is called the Jacobian, and Cramer's rule uses these to solve systems of linear equations. For 10 points, name this function on matrices which, for two by two matrices, is equal to the difference of the products of the values on the diagonals.
This function is alternating and multilinear, and the Wronskian and Hessian types of these are useful in the study of differential equations.
{determinant}