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 vT, of a column vector u and a row vector vT. == Statement == Suppose A is an invertible square matrix and u, v are column vectors. Then the matrix determinant lemma states that det ( A + u v T ) = ( 1 + v T A − 1 u ) det ( A ) .
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 vT, of a column vector u and a row vector vT. == Statement == Suppose A is an invertible square matrix and u, v are column vectors. Then the matrix determinant lemma states that det ( A + u v T ) = ( 1 + v T A − 1 u ) det ( A ) .
Source: Wikipedia "Matrix determinant lemma" · CC BY-SA 4.0
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