High Quality Content by WIKIPEDIA articles! 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. Suppose A is an invertible square matrix and u, v are column vectors. Then the matrix determinant lemma states that. Here, uvT is the dyadic product of two vectors u and v.

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