The system was designed so that they would be consistent.
A system of equations is considered consistent if it has at least one solution, and it is coincident if all solutions are the same line (infinitely many solutions). If the system has no solutions, it is inconsistent. To determine the nature of a specific system, you need to analyze its equations; for example, if two equations represent the same line, it is consistent and coincident, while parallel lines indicate inconsistency.
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.
When its matrix is non-singular.
Consistent.
In mathematics a system is said to be consistent if it does not contain proofs for statement P and the negation of P. It is, however, possible to have one consistent system where P is true and another consistent system where ~P is true.
The system was designed so that they would be consistent.
does it stay the same or not? Actually, a system is inconsistent if you can derive two (or more) statements within the system which are contradictory. Otherwise it is consistent. For example, Eucliadean geometry requires that given a line and a point not on that line, you can have one and only one line through the point which is parallel to the original line. However, you can have a consistent system of geometry if you assume that there is no such parallel line. This is known as the projective plane. You can assume that there will be an infinite number of parallel lines through a point not on the line. And again you can have a consistent system. Consistency or inconsistency has nothing whatsoever to do with time.
Consistent means offering the same standard of service over and over again.
It is
consistent dependent
ConsistentContinually in agreement (with)The testimony was consistent with the known factssources:http://www.thefreedictionary.com/consistent
A system of equations is considered consistent if it has at least one solution, and it is coincident if all solutions are the same line (infinitely many solutions). If the system has no solutions, it is inconsistent. To determine the nature of a specific system, you need to analyze its equations; for example, if two equations represent the same line, it is consistent and coincident, while parallel lines indicate inconsistency.
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.
consistent means that it either has a unique solution or infinitely many solutions. But not No solutions.
When its matrix is non-singular.
Consistent.