rank

A, B and C are matrices. What are their ranks? A) 1 2 3 4 5 6 B) 1 1 1 1 C) 3 3 7 7 11 11

Finite Math

Given a 3x3 matrix M whose individual rows add up to 1 find a 3x1 vector v (not all zero) such that v=Mv. (Hint: Do a few examples.)

linear programming

attached

Linear Programming - Simplex Methods (Finite Mathematics)

1. The feasible set of a certain linear programming problem is given by the following system of linear inequalities. x + 3y (less than or equal to symbol) 6 x - y (less than or equal to symbol) 2 - 5x + y (less than or equal to symbol) 2 Without graphing this set, determine which of the following points is not in the feasible set: a. (3,1) b. (1,1) c. (-1,2) d. (0,0) e. all of the above 2. A certain linear programming problem has the feasible set: x + 2y (less than or equal to symbol) 6 x - y (greater than or equal to symbol) 5 x (less than or equal to symbol) 3 Wh... click for more

Linear Programming-Simplex Method - Tableau

1. Consider the following linear programming problem: Maximize 10x + 7y subject to: X + 3y (less than or equal to symbol) 10 2x -y (less than or equal to symbol) 8 x (greater than or equal to symbol) 0, y (greater than or equal to symbol) 0 The initial simplex tableau is: (for choices, please see attachment) 2. The particular solution corresponding to the simplex tableau (see attachment) is: a. x = 2, y = 6, u = 10, v = 0, M = 0 b. x = 2, y = 6, u = 0, v = 0, M = 10 c. x = 6, y = 0, u = 2, v = 0, M =10 d. x = 6, y = 0, u = 6, v = 0, M = 10 e. none of the above 3. The result of pivoting the simplex tableau (see attachment) about -2 (1st row, 1st colum... click for more