The sign of this operation tells whether a linear transformation preserves orientation.
The sign of this operation tells whether a linear transformation preserves orientation. Theshoestring method for finding the area of a polygon is based on a formula that uses this operation. Asimplex in n dimensions can have its volume calculated using the Cayley-Menger type of thisoperation. One method of calculating this operation involves expansion by minors, which takes intoaccount that this function is alternating multilinear. For a (*) system of linear equations, doing this oncollections of coefficients is used to find solutions according to Cramer's rule. Invertible entities havenonzero value for this operation, which for a two-by-two input is equal to ad minus bc. For 10 points, namethis operation taken on matrices and symbolized by straight lines.
The sign of this operation tells whether a linear transformation preserves orientation.
 determinant