The discussion centers on determining the consistency of a system of equations represented by a 3X4 matrix. When a single variable equates to two different constants, such as x = 2 and x = 3, it indicates an inconsistency in the system. Consequently, this implies that the planes represented by the equations do not intersect at any point, confirming that there is no solution to the system.
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If there are no errors in your work, and you end up with, say, x = 2 and x = 3, then the system is inconsistent, and there are no solutions.teroenza said:Homework Statement
I have been given a 3X4 matrix and asked to find whether the plane equations which are it's constituents intersect at least at a single point. I end up with one variable equal to two different constants. Is this an example of inconsistency, and thus the planes to not intersect anywhere ( no solution)?