1. ## [SOLVED] Elementary matrices

Every square matrix is a product of elementary matrices.

False, a singular matrix isn't row equivalent to I.
Suppose A is singular.
$E_k,...,E_1*A\neq I$

2. Originally Posted by dwsmith
Every square matrix is a product of elementary matrices.

False, a singular matrix isn't row equivalent to I.
Suppose A is singular.
$E_k,...,E_1*A\neq I$
That's the right idea.