matrix determinant

It is closely related to the Matrix determinant lemma and its generalization.

It can also be represented as a matrix determinant of second derivatives of the Yang action.

The matrix determinant lemma performs a rank-1 update to a determinant.

Then it may be possible to multiply across by the inverse matrix so long as the matrix determinant of is not zero.

Identity matrices are useful in solving matrix determinants, groups of linear equations and multiple regression.

The matrix determinant will have weight NW.

If the equations can be solved (i.e., the matrix determinant is nonzero), then that trial value is the number of errors.

Theorem 2 : A Tutte matrix determinant is not a -polynomial if and only if there exists a perfect matching.

When the matrix determinant lemma is used in conjunction with the Sherman-Morrison formula, both the inverse and determinant may be conveniently updated together.

The condition that the points are in general position is equivalent to the requirement that this matrix determinant is never zero for distinct points p, q, and r.

Andreas Björklund provided an alternative approach using the inclusion-exclusion principle to reduce the problem of counting the number of Hamiltonian cycles to a simpler counting problem, of counting cycle covers, which can be solved by computing certain matrix determinants.

In mathematics, in particular linear algebra, the matrix determinant lemma computes the determinant of the sum of an invertible matrix A and the dyadic product, u v, of a column vector u and a row vector v.