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Chapter 5: Systems
Systems
Question | Answer |
---|---|
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. |