Sample Quiz on Linear Systems

Question # 1: Any homogeneous system of linear equations:
Question # 2: Any nonhomogeneous system of linear equations:
Question # 3: The solution to the linear system
2x + 2y = 0
x - y = 0 is:
Question # 4: The system 2x - 2y - 2z = 0
-2x + 2y + z = 1
x - y - z = 2
Question # 5: The graphs of x - 6y + z = 0 and 2x - 12y + 2z = 1
Question # 6: The system of linear equations x+2y-z=0 and x-y+z=1 has a solution. Suppose we add the new equation 3x+3y-z=k to these equations. Then the resulting system:
Question # 7: If the solution set of a non-homogeneous system of linear equations is given by x0+tx1, then a solution of the associated homogeneous system is:
Question # 8: The two equations x+2y-z=0 and x-y+z=1
Question # 9: The two equations 2x+2y-2z=6 and x+y-z=1