Calculation of the number of minimum spanning trees of a graph can be done by applying this function to the reduced Laplacian according to Kirchhoff's Theorem. The characteristic polynomial can be fou
Calculation of the number of minimum spanning trees of a graph can be done by applying this function to the reduced Laplacian according to Kirchhoff's Theorem. The characteristic polynomial can be found by performing this operation on a difference, one of whose terms has an eigenvalue. Solutions to a system of linear equations can be expressed as a quotient involving this function according to Cramer's rule. This function is the unique, multilinear alternating form on square matrices. In a triangular matrix, the product of all diagonal entries yields this value. For 10 points, name this matrix operation computed using cofactor expansion, and for a 2 by 2 matrix is A D minus B C.
Calculation of the number of minimum spanning trees of a graph can be done by applying this function to the reduced Laplacian according to Kirchhoff's Theorem.
determinants