Every square matrix is a product of elementary matrices. False, a singular matrix isn't row equivalent to I. Suppose A is singular. $\displaystyle E_k,...,E_1*A\neq I$
Follow Math Help Forum on Facebook and Google+
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. $\displaystyle E_k,...,E_1*A\neq I$ That's the right idea.
View Tag Cloud