For 10 point, name this value that, for a two by two matrix abcd, has the value of a d minus bc.
The change-of-variable theorem uses a type of these values that is comprised of partial derivatives of multivariable functions. Calculating one type of these values uses the derivatives through the (n-minus-1)st of n functions to find if a function is linearly independent. They can be calculated by adding and subtracting products of co-factors in Laplacian expansion. This value is invariate for the transpose of a matrix, and swapping rows or columns only changes its sign. For 10 point, name this value that, for a two by two matrix abcd, has the value of a d minus bc.
The change-of-variable theorem uses a type of these values that is comprised of partial derivatives of multivariable functions.
determinant