# Matrices in Linear Algebra Chapter Exam

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### Page 1

#### Question 1 1. Which of these statements is not true?

#### Question 2 2. Rewrite the 3rd equation in proper form so that we can turn it into augmented matrix form.

#### Question 3 3. When you have an inconsistent or dependent system, what does the coefficient matrix equal to when you use Cramer's Rule?

#### Question 4 4. How many solutions does a dependent system have?

#### Question 5 5. Which of the following is not a valid matrix operation?

### Page 2

####
Question 6
6.
Solve this linear system.

x + y = 3

y = 1

#### Question 7 7. Which row would you multiply by -2 to help you find the inverse matrix?

#### Question 8 8. What matrix do you divide by when using Cramer's Rule?

#### Question 9 9. Which of the following is the new row that results when you add rows 1 and 3?

#### Question 10 10. Multiply the fourth row by 3.

### Page 3

#### Question 11 11. Subtract the following matrices:

#### Question 12 12. Which system of equations is represented by the following matrix? (Think of the vertical line as the equal sign.)

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

#### Question 14 14. If you switch the first row with the fourth row, what will the new first row be?

#### Question 15 15. You are solving a system using Gaussian elimination when you realize that your last row tells you that 0 = 4. You know this to be false, so what does this most likely mean for your system?

### Page 4

#### Question 16 16. Which matrix will you get when you multiply a matrix with its inverse?

#### Question 17 17. 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 18 18. Multiply the first row by -3 and add it to the second row.

#### Question 19 19. Solve.

#### Question 20 20. What is the first row of our augmented matrix?

### Page 5

#### Question 21 21. How many equations are needed in a linear system with five variables?

#### Question 22 22. The identity matrix can be likened to what number?

#### Question 23 23. If the inverse of matrix A is this, what is the solution when the constants are 10 and 13?

#### Question 24 24. Which equation(s) need to be rewritten in this linear system before we can write it in augmented matrix form?

#### Question 25 25. Which of the following is the inverse of this matrix?

### Page 6

#### Question 26 26. What is the complete list of equations included in this augmented matrix?

#### Question 27 27. How many rows would a matrix that represents a system of 5 variables and 3 equations have?

#### Question 28 28. Which of the following is an equation included in this matrix?

#### Question 29 29. What kinds of brackets are used in proper matrix notation?

#### Question 30 30. Which numbers need to be changed to 0 for this linear system?

#### Matrices in Linear Algebra 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!