Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I am with an exercise that first asks me to show that for any regular matrix $A$, there exists a diagonal matrix $D$ such that $A$ is transformed into a row equilibrated matrix by a left multiplication by $D$.

Next, I shall show that $K_\infty(DA)\leq K_\infty(CA)$ for any other diagonal matrix $C$, but I do not see how I can get there.

Can someone give a hint?

-best regards.

share|cite|improve this question
Are the terms "regular matrix" and "row equilibrated matrix" standard? Wikiing for regular matrix gives me a disambiguation page: – Srivatsan Nov 13 '11 at 20:30
regular means invertible, $|A|$ nonzero. row equilibrated matrix means that the sum of the absolute values of the entries is the same in each row. – Marie. P. Nov 13 '11 at 21:18
Seen this? – J. M. Nov 13 '11 at 21:50

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.