1. [-/2 Points] DETAILS Determine whether the equation is linear in the variables x and y. 8x - 2xy = 0 O The equation is linear in the variables x and y. O The equation is not linear in the variables x and y. 2. [-/3 Points] DETAILS Find a parametric representation of the solution set of the linear equation. (Enter your answer as a comma-separated list of equations. Use t as your parameter.) 3x - 9y = 0 3. [-/10 Points] DETAILS Solve the system of linear equations. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set z = t and solve for x and y in terms of t.) 4y + 52 = 15 3x - 12y + 15z = 15 (x, y, z) = ( 4. [-/10 Points] DETAILS State why the system of equations must have at least one solution. (Select all that apply.) 9x +9 9y - 2 = 0 18x + 9y + 3z = 0 9x + 27y - 11z = 0 O The point (x, y, z) = (0, 0, 0) solves the system. During the elimination process, we obtain a false statement. The point (x, y, z) = (1, 1, 1) solves the system. The system contains three equations and three variables. During the elimination process, we obtain the equation 0 = 0. Solve the system and determine whether it has exactly one solution or infinitely many solutions. (If the system has an infinite number of solutions, express x, y, and z in terms of the parameter t.) (x, y, z) =5. [-/10 Points] DETAILS Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) 10 WU 1 - 3 6. [-/12 Points] DETAILS Use the inverse matrices to find (AB) , (AT) , and (24) . N B-1 A N/U N N / H A / W AIN I N/ H N / H N / W AH N HM (a) (AB) (b ) ( AT ) - 2 (C) (24) -1