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Can we include inequalities while solving under determined simultaneous linear equation in reduced Echelon form?

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$begingroup$

Is there a way to include the inequalities of variables in calculating family of equations while solving under determined simultaneous linear equations?

For Eg: Lets say x + y = 4, y + z = 4.

But I also have the additional information that x and y are unequal and y and z are unequal. How can I make use of this extra information? Is there a way to include this information in the matrix while calculating reduced Echelon form to family of solutions.

matrices inequality systems-of-equations integral-inequality

share|cite|improve this question

asked 16 hours ago

VARUN.N RAOVARUN.N RAO

13

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Introduce further variables that make up the difference e.g. x + y = 4 and x + 2<y is now x + y = 4 with x+2+s = y. You will possibly need conditions on x, y, like they are always positive for example, to get something useful.
  $endgroup$
  – Paul
  15 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  The thing is the only information I have is that they are not equal, I don't know which one is greater, or what exactly is the difference between them. IS there a way to formally include this information in to matrix?
  $endgroup$
  – VARUN.N RAO
  15 hours ago
  

  
  
  
  

add a comment | 

0

$begingroup$

Is there a way to include the inequalities of variables in calculating family of equations while solving under determined simultaneous linear equations?

For Eg: Lets say x + y = 4, y + z = 4.

But I also have the additional information that x and y are unequal and y and z are unequal. How can I make use of this extra information? Is there a way to include this information in the matrix while calculating reduced Echelon form to family of solutions.

matrices inequality systems-of-equations integral-inequality

share|cite|improve this question

asked 16 hours ago

VARUN.N RAOVARUN.N RAO

13

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Introduce further variables that make up the difference e.g. x + y = 4 and x + 2<y is now x + y = 4 with x+2+s = y. You will possibly need conditions on x, y, like they are always positive for example, to get something useful.
  $endgroup$
  – Paul
  15 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  The thing is the only information I have is that they are not equal, I don't know which one is greater, or what exactly is the difference between them. IS there a way to formally include this information in to matrix?
  $endgroup$
  – VARUN.N RAO
  15 hours ago
  

  
  
  
  

add a comment | 

$begingroup$

Is there a way to include the inequalities of variables in calculating family of equations while solving under determined simultaneous linear equations?

For Eg: Lets say x + y = 4, y + z = 4.

But I also have the additional information that x and y are unequal and y and z are unequal. How can I make use of this extra information? Is there a way to include this information in the matrix while calculating reduced Echelon form to family of solutions.

matrices inequality systems-of-equations integral-inequality

share|cite|improve this question

asked 16 hours ago

VARUN.N RAOVARUN.N RAO

13

$endgroup$

share|cite|improve this question

asked 16 hours ago

VARUN.N RAOVARUN.N RAO

13

share|cite|improve this question

asked 16 hours ago

VARUN.N RAOVARUN.N RAO

13

asked 16 hours ago

VARUN.N RAOVARUN.N RAO

13

asked 16 hours ago

VARUN.N RAOVARUN.N RAO

13