equitable matrices of order 2
Let us consider the matrix
M=(m11m12m21m22). |
A necessary and sufficient condition for M to be an equitable matrix is that m11,m12,m21,m22>0 and
m11=m11m11, | ||
m11=m12m21, | ||
m12=m11m12, | ||
m12=m12m22, | ||
m21=m21m11, | ||
m21=m22m21, | ||
m22=m21m12, | ||
m22=m22m22. |
It follows that m11=m22=1, and m12=1/m21.
Title | equitable matrices of order 2 |
---|---|
Canonical name | EquitableMatricesOfOrder2 |
Date of creation | 2013-03-22 14:58:30 |
Last modified on | 2013-03-22 14:58:30 |
Owner | matte (1858) |
Last modified by | matte (1858) |
Numerical id | 4 |
Author | matte (1858) |
Entry type | Example |
Classification | msc 15-00 |