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A homogeneous system of eqs: Ax=0 will always be consistent, since x=0 is always a possible solution. However, if det(A)=0 then there will be infinite solutions, as |A|=0 implies that either no solutions or infinitely many exist, and it is impossible for no solutions to exist to Ax=0. If det(A) is non 0, then x=0 is the only solution, as |A| is not equal to 0 implies a unique solution only!(in this case x=0). Hope this helps!

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Q: When will a homogeneous system of equations be inconsistent?
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Related questions

What is a inconsistent system?

An inconsistent system of equations is when you have 2 or more equations, but it is not possible to satisfy all of them at the same time. (E.g if you have 3 equations, but can only satisfy 2 at once, it is an inconsistent system).


If a system of equations is inconsitient how many solutions will it have?

If a system of equations is inconsistent, there are no solutions.


What describes a system of equations that has no solution?

Inconsistent.


What is a inconsistent line?

its a system of equations, with no solution


What is inconsistent equation?

An inconsistent equation (or system of equations) is one that has no possible solutions.


What is inconsistent system of linear equation?

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


When will a system of linear equations be inconsistent?

When the matrix of coefficients is singular.


A system of equations of two or more parallel lines is called a what?

Inconsistent


How many solutions does a system of linear equations have if it is inconsistant?

A set of equations is inconsistent, if its solution set is empty.


Which best describes a system of equations that has no solution?

An "inconsistent" set of equations. If they are all linear equations then the matrix of coefficients is singular.


How many solutions does an inconsistent system of equations have?

If a system is inconsistent it cannot have any solutions.A system of equations is considered inconsistent when the lines are parallel which means they never intersect so there are no solutions.A system is considered consistent when they intersect at one point and have one solution (Also known as an independent system of equations).Dependent Systems are when the lines coincide (the same equation) so they have an infinite number of solutions.


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.