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Solving Matrices & Determinants Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

Page 1

Question 1 1. A matrix B multiplied by its identity matrix is equal to what?

Question 2 2. A matrix multiplied by its inverse is equal to what?

Question 3 3. The identity matrix can be likened to what number?

Question 4 4. What is the determinant of the coefficient matrix for this linear system?

Question 5 5.

In this system of equations, which numbers are your constant numbers?

x + 3y - 2z = 18

2x - y - z = -7

4x - 2y + z = -8

Page 2

Question 6 6. How many determinants do you need to find in order to solve a linear system in three variables using Cramer's rule?

Question 7 7. Find the determinant of the following matrix.

Question 8 8. Which of the following would be a square matrix?

Question 9 9. What size is the following matrix?

Question 10 10. Find the determinant.

Page 3

Question 11 11. What is the determinant of the minor matrix related to the number 2 in the top row?

Question 12 12. Find the determinant.

Question 13 13. What number is located at row 2 and column 3 in the following matrix?

Question 14 14. The adjugate matrix is the _____.

Question 15 15. Find the determinant of the following matrix:

Page 4

Question 16 16.

Solve the system of equations below:

y = 3x - 5

y = -2x + 10

Question 17 17. Which graph does NOT represent a system of equations?

Question 18 18. Based on this graph, what is the solution to the system of equations?

Question 19 19. Which of the following is not a valid matrix operation?

Question 20 20. What kinds of brackets are used in proper matrix notation?

Page 5

Question 21 21. What is the number in the first row and first column in the answer matrix?

Question 22 22. To find D sub y, which column of the coefficient matrix would you replace with the constant numbers?

Question 23 23.

What is the determinant of the coefficient matrix of this linear system?

2x + 2y = 10

3x - 2y = 0

Question 24 24.

Find the y solution of this system using Cramer's rule.

2x + 2y = 10

3x - 2y = 0

Question 25 25. What is the size of the following matrix?

Page 6

Question 26 26. Which of the following is not in reduced row-echelon form?

Question 27 27. Which of the following matrices is not in reduced row-echelon form?

Question 28 28. What is the order of a row matrix with 6 entries?

Question 29 29. What type of matrix is A?

Question 30 30. What type of matrix is A?

Solving Matrices & Determinants Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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