# Sherman–Morrison formula

## Formula computing the inverse of the sum of a matrix and the outer product of two vectors / From Wikipedia, the free encyclopedia

#### Dear Wikiwand AI, let's keep it short, summarize this topic like I'm... Ten years old or a College student

In mathematics, in particular linear algebra, the **Sherman–Morrison formula**,[1][2][3] named after Jack Sherman and Winifred J. Morrison, computes the inverse of the sum of an invertible matrix and the outer product, , of vectors and . The Sherman–Morrison formula is a special case of the Woodbury formula. Though named after Sherman and Morrison, it appeared already in earlier publications.[4]