# invertible

## The permanent conjecture ★★

Author(s): Kahn

**Conjecture**If is an invertible matrix, then there is an submatrix of so that is nonzero.

Keywords: invertible; matrix; permanent

## A nowhere-zero point in a linear mapping ★★★

Author(s): Jaeger

**Conjecture**If is a finite field with at least 4 elements and is an invertible matrix with entries in , then there are column vectors which have no coordinates equal to zero such that .

Keywords: invertible; nowhere-zero flow