This is evaluated to find a characteristic equation, which is solved to find eigenvalues.
Two methods for calculating this value are Dodgson condensation and cofactor expansion. This value equals zero when a homogeneous equation has a nontrivial solution. This value gives the ratio of the area of a shape after a linear transformation to the original area. This is evaluated to find a characteristic equation, which is solved to find eigenvalues. Two of these values are divided to solve a system of equations using Cramer's Rule. This is the product of main diagonal values for a triangular matrix. Name this value for a square matrix sometimes given by the formula a times d minus b times c.
Two methods for calculating this value are Dodgson condensation and cofactor expansion.
determinants