College Algebra MA 240 Online Exam 7

College Algebra MA 240 Online Exam 7.Question 1 of 40 2.5/ 2.5 Points Solve the following system of equations using matrices. Use Gaussian elimination with back substitution or Gauss-Jordan elimination. 2x - y - z = 4 x + y - 5z = -4 x - 2y = 4  A. {(2, -1, 1)}  B. {(-2, -3, 0)}  C. {(3, -1, 2)}  D. {(3, -1, 0)} Question 2 of 40 2.5/ 2.5 Points Use Cramer’s Rule to solve the following system. 33769 Online Exam 7_06 College Algebra MA 240 12x + 3y = 15 2x - 3y = 13  A. {(2, -3)}  B. {(1, 3)}  C. {(3, -5)}  D. {(1, -7)} Question 3 of 40 2.5/ 2.5 Points Use Gauss-Jordan elimination to solve the system. -x - y - z = 1 4x + 5y = 0 y - 3z = 0  A. {(14, -10, -3)} College Algebra MA 240  B. {(10, -2, -6)}  C. {(15, -12, -4)}  D. {(11, -13, -4)} Question 4 of 40 2.5/ 2.5 Points Give the order of the following matrix; if A = [aij], identify a32 and a23. 1 0 -2 -5 7 1/2 ∏ -6 11 e -∏ -1/5  A. 3 * 4; a32 = 1/45; a23 = 6  B. 3 * 4; a32 = 1/2; a23 = -6  College Algebra MA 240 C. 3 * 2; a32 = 1/3; a23 = -5  D. 2 * 3; a32 = 1/4; a23 = 4 Question 5 of 40 2.5/ 2.5 Points Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists. w - 2x - y - 3z = -9 w + x - y = 0 3w + 4x + z = 6 2x - 2y + z = 3  A. {(-1, 2, 1, 1)}  B. {(-2, 2, 0, 1)}  C. {(0, 1, 1, 3)}  D. {(-1, 2, 1, 1)} College Algebra MA 240 Question 6 of 40 2.5/ 2.5 Points Solve the system using the inverse that is given for the coefficient matrix. 2x + 6y + 6z = 8 2x + 7y + 6z =10 2x + 7y + 7z = 9 The inverse of: 2 2 2 6 7 7 6 6 7 is 7/2 -1 0 0 1 -1 -3 0 1  A. {(1, 2, -1)}