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Chapter 5: Systems


What is the solution set for a system? Its the intersection of the solution sets for the indivual sentances.
What is a square matrice? Those with the same number of rows and columns, can have inverses.
What is the system determinant theorem? A 2 X 2 system has exactly one solution if and only if the determinant of the coefficent matrix is not zero.
What is a half plane? When a line is drawn in a plane, the line seperates the plane into two distinct regions.
What is a boundary? The line itself is the boundary is the two regions.
What is a feasible region? The set of solutions two a system of linear inequalities.
Linear programming thereom The feasible region of every linear programming problem is convex, and the maximum or minimum quanity is determined at one of the vertices of this feasible region.
What are vertices? The intersections of the boundaries are called vertices of a feasible set.
Created by: kmalone30