# Algebra II: Matrices and Determinants Chapter Exam

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### Page 1

#### Question 1 1. Which of the following is an equation included in this matrix?

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

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

#### Question 4 4. What is the determinant?

#### Question 5 5. What of these symbols is commonly used to enclose a matrix?

### Page 2

#### Question 6 6. Use Cramer's rule to find the z solution to this linear system.

#### Question 7 7. Write in augmented matrix form.

#### Question 8 8. Which of the following is the inverse of this matrix?

#### Question 9 9. Which of the following is the correct formula for finding the determinant of this matrix?

#### Question 10 10. Which choice below could be a possible answer to the determinant of a matrix?

### Page 3

#### Question 11 11. Which of the following describes what a matrix looks like?

#### Question 12 12. The identity matrix can be likened to what number?

#### Question 13 13. If the determinant of a coefficient matrix equals 0, what does it tell you about the linear system?

#### Question 14 14. Multiply the fourth row by 3.

#### Question 15 15. To find D sub y, which column of the coefficient matrix would you replace with the constant numbers?

### Page 4

#### Question 16 16. If you switch the first row with the fourth row, what will the new first row be?

#### Question 17 17. If the inverse of matrix A is this, what is the solution when the constants are 10 and 13?

####
Question 18
18.
Using Gaussian elimination, what number needs to be changed to 0 in this linear system?

3x - 4y = 9

4x + 15y = 11

#### Question 19 19. What matrix do you divide by when using Cramer's Rule?

#### Question 20 20. Which matrix will you get when you multiply a matrix with its inverse?

### Page 5

#### Question 21 21. Which of the following would be a square matrix?

#### Question 22 22. How many solutions does a dependent system have?

#### Question 23 23. Find the determinant of the following matrix.

#### Question 24 24. Which of the following is NOT true regarding matrices?

#### Question 25 25. Rewrite the 3rd equation in proper form so that we can turn it into augmented matrix form.

### Page 6

#### Question 26 26. 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 27 27. Which type of system has an infinite number of solutions?

#### Question 28 28. Which of the following is not a valid matrix operation?

#### Question 29 29. How many rows would a matrix that represents a system of 5 variables and 3 equations have?

#### Question 30 30. How many solutions does an inconsistent system have?

#### Algebra II: Matrices and 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!