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When its matrix is non-singular.

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Q: When will the system of linear equation be consistent?
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Related questions

What type of system of linear equation is y equals -3x-1 and 3x plus -1?

A consistent system.


Can linear system that has more unknowns than equation be consistent?

yes it can . the system may have infinitely many solutions.


Are Linear equation systems consistent or inconsistent?

It depends on the equations.


What is inconsistent system of linear equation?

It is a system of linear equations which does not have a solution.


A system of linear equations that has soluton is?

A system of linear equations that has at least one solution is called consistent.


What is consistent and dependent?

The terms consistent and dependent are two ways to describe a system of linear equations. A system of linear equations is dependent if you can algebraically derive one of the equations from one or more of the other equations. A system of linear equations is consistent if they have a common solution.An example of a dependent system of linear equations:2x + 4y = 84x + 8y = 16Solve the first equation for x:x = 4 - 2yPlug that value of x into the second equation:16 - 8y + 8y = 16, which gives 16 = 16.No new information was gained from the second equation, because we already knew 16 = 16, so these two equations are dependent.An example of an inconsistent system of linear equations:Because consistency is boring.2x + 4y = 84x + 8y = 15Solve the first equation for x:x = 4 - 2yPlug that value of x into the second equation:16 - 8y + 8y = 15, which gives 16 = 15.This is a contradiction, because 16 doesn't equal 15. Therefore this system has no solution and is inconsistent.


Are system of equations and system of linear equation the same?

No....not necessary


In solving a system of two linear equations or two functions by graphing what is meant by if the system is consistent or inconsistent?

A system of linear equations is consistent if there is only one solution for the system. Thus, if you see that the drawn lines intersect, you can say that the system is consistent, and the point of intersection is the only solution for the system. A system of linear equations is inconsistent if it does not have any solution. Thus, if you see that the drawn lines are parallel, you can say that the system is inconsistent, and there is not any solution for the system.


Is there any system which involves one nonlinear equation and one linear equation?

Yes


What is a system of equations that has at least one solution?

a linear equation


Which ordered pair is a solution of the linear system?

This is a linear algebra question and it is incomplete since there are no equation which have to be solved.


How do you find system of linear equation in two variable?

By elimination and substitution