148
Texas Math A & M University
Quiz # 4
Spring 2012
Instructions:
(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is only possible with
some written indication of your thoughts. (c) Calculators may not be shared. (d) Please put a box
around your final answer.
1. [40 points] Determine the value of k such that the following system of linear equations has
a solution, and then find the solution.
2x 3y + = 2
x + 4y = 6
5x + ky = 2
Hint: Find the intersection of the first two lines.
3. [10 points] Form the augmented matrix corresponding to the following system.
x+z = 4
y = -2
1
3. Consider the linear system of equations
2x + y - 2z = 4
x + 3y z = -3
3x + 4y z = 7
a. [10 points] Form the augmented matrix corresponding to the system.
b. [40 points] Using the row operations find the solutions of the system if any.
2