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,...
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...
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,...
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...