# WEST Math: Matrix Operations & Determinants Chapter Exam

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### Page 1

#### Question 1 1. Which of the following is NOT true regarding matrices?

#### Question 2 2. If you switch rows two and three, what will be the new second row?

#### Question 3 3. Which row would you multiply by -2 to help you find the inverse matrix?

#### Question 4 4. How many rows would a matrix that represents a system of 5 variables and 3 equations have?

#### Question 5 5. Find the determinant of the following matrix.

### Page 2

#### Question 6 6. What is the number in the second row and third column in the answer matrix?

#### Question 7 7. What of these symbols is commonly used to enclose a matrix?

#### Question 8 8. Which number needs to be changed to find the inverse of this matrix?

#### Question 9 9. Which of the following describes what a matrix looks like?

#### Question 10 10. Which of the following would be a square matrix?

### Page 3

#### Question 11 11. Which of the following is not a valid matrix operation?

#### Question 12 12. A matrix B multiplied by its identity matrix is equal to what?

#### Question 13 13. A matrix multiplied by its inverse is equal to what?

#### Question 14 14. For the problem Mx = h where M is a matrix, x is the variable matrix, and h is the answer or constants matrix, how would you solve the problem if you were given the inverse of matrix M?

#### Question 15 15. Which of the following is the inverse of this matrix?

### Page 4

#### Question 16 16. Multiply the first row by -3 and add it to the second row.

#### Question 17 17. The identity matrix can be likened to what number?

#### Question 18 18. What size is the following matrix?

#### Question 19 19. Multiply the fourth row by 3.

#### Question 20 20. Which of the following is the new row that results when you add rows 1 and 3?

### Page 5

#### Question 21 21. Find the determinant of the following matrix.

#### Question 22 22. Which choice below could be a possible answer to the determinant of a matrix?

#### Question 23 23. Which of these statements is not true?

#### Question 24 24. What kinds of brackets are used in proper matrix notation?

#### Question 25 25. Which matrix will you get when you multiply a matrix with its inverse?

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#### Question 26 26. Which system of equations is represented by the following matrix? (Think of the vertical line as the equal sign.)

#### Question 27 27. What is the number in the first row and first column in the answer matrix?

#### Question 28 28. If you switch the first row with the fourth row, what will the new first row be?

#### Question 29 29. When you multiply matrices, if the first matrix is a 4x3 matrix, which of the following matrices can we multiply with the first?

#### Question 30 30. If the inverse of matrix A is this, what is the solution when the constants are 10 and 13?

#### WEST Math: Matrix Operations & 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!