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Matrices in Linear Algebra: Tutoring Solution 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!

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Question 1 1. You are trying to solve a system using Gaussian elimination. In the process, you see that you get 0 for all the rows below the first row. What does this most likely mean for your system?

Question 2 2. What kinds of brackets are used in proper matrix notation?

Question 3 3. If the determinant of a coefficient matrix equals 0, what does it tell you about the linear system?

Question 4 4. Which of the following describes what a matrix looks like?

Question 5 5. A matrix multiplied by its inverse is equal to what?

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Question 6 6. 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?

Question 7 7. Which of the following is the new row that results when you add rows 1 and 3?

Question 8 8. Which of the following is NOT true regarding matrices?

Question 9 9. Where do you want the zeros when using Gaussian elimination?

Question 10 10. When you have an inconsistent or dependent system, what does the coefficient matrix equal to when you use Cramer's Rule?

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Question 11 11. If you switch the first row with the fourth row, what will the new first row be?

Question 12 12. How many solutions does an inconsistent system have?

Question 13 13. How many rows would a matrix that represents a system of 5 variables and 3 equations have?

Question 14 14.

Solve this linear system.

x + y = 3

y = 1

Question 15 15. The identity matrix can be likened to what number?

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Question 16 16. How many solutions does a dependent system have?

Question 17 17. Which system of equations is represented by the following matrix? (Think of the vertical line as the equal sign.)

Question 18 18. Write in augmented matrix form.

Question 19 19. Multiply the fourth row by 3.

Question 20 20. Which type of system has an infinite number of solutions?

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Question 21 21. What matrix do you divide by when using Cramer's Rule?

Question 22 22. How many solutions does an inconsistent system have?

Question 23 23. Which equation(s) need to be rewritten in this linear system before we can write it in augmented matrix form?

Question 24 24. 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 25 25. Which numbers need to be changed to 0 for this linear system?

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Question 26 26. What form do you need to change your matrix into when using Gauss-Jordan elimination?

Question 27 27. Which row would you multiply by -2 to help you find the inverse matrix?

Question 28 28. When you multiply matrices, if the first matrix is a 4x3 matrix, which of the following matrices can we multiply with the first?

Question 29 29. Rewrite the 3rd equation in proper form so that we can turn it into augmented matrix form.

Question 30 30. What is the number in the first row and first column in the answer matrix?

Matrices in Linear Algebra: Tutoring Solution 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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