This value equals the product of all the eigenvalues, if it is zero for a matrix, that matrix has no inverse.
A map between two spaces induces this map between the top exterior power of those spaces, and up to a constant multiplicative factor, this map is the unique alternating multilinear form on V to the n. The "special" in the groups SO N and SU N refers to the fact that the elements of those groups have a value of one for this function. The sign of this value for a linear transformation determines whether that transformation is orientation preserving. This value equals the product of all the eigenvalues, if it is zero for a matrix, that matrix has no inverse. Cramer's rule calculates the solutions to linear equations as quotients of this function. For 10 points, name this value associated with square matrices which, in two dimensions, equals A D minus B C.
A map between two spaces induces this map between the top exterior power of those spaces, and up to a constant multiplicative factor, this map is the unique alternating multilinear form on V to the n. The "special" in the groups SO N and SU N refers to the fact that the elements of those groups have a value of one for this function.
determinant