24 Feb
2016
24 Feb
'16
1:59 p.m.
Aha, so maybe the largest such group is the group of matrices that permute, and multiply by a positive number, each basis element. Thus, the group of matrices with all 0's except for a single positive number in each row and in each column? —Dan
On Feb 24, 2016, at 12:48 PM, Veit Elser <ve10@cornell.edu> wrote:
On Feb 24, 2016, at 3:36 PM, Dan Asimov <asimov@msri.org> wrote:
Never mind, I doubt the posistive triangular matrices is closed under inverses.
But: Certainly the group of positive diagonal matrices would work. Anything else?
Yes. Here’s a hint:
Instead of thinking about the group of matrices, think about the corresponding group of transformations of the positive orthant.