- #1
NaturePaper
- 70
- 0
Hi everyone,
I've a simple question (the answer may be so trivial that I really ought to be ashamed for asking!) in elementary matrix theory:
"Does there exists any relation between the number of non-zero eigen values of a matrix with its rank?" The matrix is taken to be a general (square, of course) matrix with complex entries.
[some partial result for full-ranked matrix is known to me, but I want the general relation, if it exists]
What if we restricted to Hermitian (and more specially to Positive semidefinite) matrices?
Thanks & Regards,
Naturepaper
I've a simple question (the answer may be so trivial that I really ought to be ashamed for asking!) in elementary matrix theory:
"Does there exists any relation between the number of non-zero eigen values of a matrix with its rank?" The matrix is taken to be a general (square, of course) matrix with complex entries.
[some partial result for full-ranked matrix is known to me, but I want the general relation, if it exists]
What if we restricted to Hermitian (and more specially to Positive semidefinite) matrices?
Thanks & Regards,
Naturepaper