solution of set of algebraic equations
From: Amit Purohit (amit81purohit_at_rediffmail.com)
Date: 09/23/04
- Next message: Sue: "I need some help with this one, please!"
- Previous message: Kangyuan Zhu: "Large Scale Optimization"
- Messages sorted by: [ date ] [ thread ]
Date: Thu, 23 Sep 2004 12:15:35 +0000 (UTC)
Hi,
I have a doubt. Suppose we are given with a set of linear algebraic
equations. how do we find out whether the given set of linear
algebraic equations have atleast one solution or not. In other words
how do we find out whether the given set of equations is a consistent
or an inconsistent set.
for example-
x+y=2
x+y=3
is an inconsistent set but the rank of the A matrix (Ax=b) is 1.
Therefore I feel that finding out rank of the matrix and then
comparing it with the no. of variables is not the right approach.
second approach may be the degree of freedom (DOF)approach. But then,
the present system has zero degrees of freedom even than the solution
is not uniquely determined.
Both RANK & DOF approach does not seem to work here. Is there any way
to find out whether a geven set of algebraic equations is a
"consistent".
- Next message: Sue: "I need some help with this one, please!"
- Previous message: Kangyuan Zhu: "Large Scale Optimization"
- Messages sorted by: [ date ] [ thread ]
Relevant Pages
|
|
