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College Algebra MA 240 Online Exam 7

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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)} �...

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  • February 8, 2022
  • 31
  • 2022/2023
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College Algebra MA 240


Online Exam 7_06
33769 Online Exam 7_06

Part 1 of 2 - Lesson 6 Questions 47.5/ 50.0 Points

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.

,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 -5 ∏ e

0 7 -6 -∏

-2 1/2 11 -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)}

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