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Performing Operations on Matrices & Vectors 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. Which of the following is the new row that results when you add rows 1 and 3?

Question 2 2. If you switch the first row with the fourth row, what will the new first row be?

Question 3 3. Multiply the fourth row by 3.

Question 4 4. Which of the following is the meaning of a scale drawing?

Question 5 5. Which of the following is a correct example of geometric vector addition? (NOTE: In these diagrams, the BLACK arrow is the total, and the blue and red arrows are the vectors we should be adding together.)

Page 2

Question 6 6. In a different tug of war, one team pulls with a force of 50 newtons at an angle of 30 degrees from the positive x-axis, and a second team pulls with a force of 25 newtons at an angle of 250 degrees. Use a scale drawing to determine the total force and angle applied to the central ring. (NOTE: You will need paper, a protractor and a ruler to complete this question.)

Question 7 7. Which of the following would be a square matrix?

Question 8 8. Find the determinant of the following matrix.

Question 9 9. Which choice below could be a possible answer to the determinant of a matrix?

Question 10 10. What of these symbols is commonly used to enclose a matrix?

Page 3

Question 11 11. Which system of equations is represented by the following matrix? (Think of the vertical line as the equal sign.)

Question 12 12. How many rows would a matrix that represents a system of 5 variables and 3 equations have?

Question 13 13. Which of these is NOT a way you can manipulate vectors mathematically?

Question 14 14. Which of the following is the definition of a vector?

Question 15 15. Which of the following is NOT an example of a vector quantity?

Page 4

Question 16 16. What is the number in the first row and first column in the answer matrix?

Question 17 17. Which of the following is not a valid matrix operation?

Question 18 18. When you multiply matrices, if the first matrix is a 4x3 matrix, which of the following matrices can we multiply with the first?

Question 19 19. When might you need to subtract vectors?

Question 20 20. Which of these equations is a case where you would NOT ever need to subtract two vectors?

Page 5

Question 21 21. If vector 1 has a magnitude of 3, and a direction of 30 degrees below the negative x-axis, and vector 2 has a magnitude of 4, and a direction of 80 degrees below the negative x-axis, what is vector 1 minus vector 2? (Please complete this question geometrically using paper, a pencil and a ruler.)

Question 22 22. Which of the following is NOT an example of vector multiplication? (In other words, which calculation does not have a vector for an answer?)

Question 23 23. Which of these is a correct definition of a vector quantity?

Question 24 24. In component form, vector A is 3i + 6j, and vector B is i + 2j. What is the scalar product of these vectors?

Question 25 25. A matrix multiplied by its inverse is equal to what?

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Question 26 26. A matrix B multiplied by its identity matrix is equal to what?

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

Question 28 28. Which of these statements is not true?

Question 29 29. Which matrix will you get when you multiply a matrix with its inverse?

Question 30 30. Which of the following is the inverse of this matrix?

Performing Operations on Matrices & Vectors 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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