# Linear Algebra Problem

1. Feb 20, 2008

### Braka

The problem is prove that for every square singular matrix A there is a nonzero square matrix B, such that AB equals the zero matrix.

I got AB to equal the identity matrix, but not the zero matrix.

2. Feb 20, 2008

### Mystic998

Yeah, that would be bad, because that would imply that A is nonsingular. Anyway, think about what singularity implies for the columns of A.