2. Instructions for using this template. Remember this is Jeopardy, so where I have written “Answer” this is the prompt the students will see, and where I have “Question” should be the student’s response. To enter your questions and answers, click once on the text on the slide, then highlight and just type over what’s there to replace it. If you hit Delete or Backspace, it sometimes makes the text box disappear. When clicking on the slide to move to the next appropriate slide, be sure you see the hand, not the arrow. (If you put your cursor over a text box, it will be an arrow and WILL NOT take you to the right location.)

3. Choose a category. You will be given the answer. You must give the correct question. Click to begin.

4. Click here for Final Jeopardy

5. Systems of Equations with Matrices Determinants Random 10 Point 20 Points 30 Points 40 Points 50 Points 10 Point 20 Points 30 Points 40 Points 50 Points 30 Points 40 Points 50 Points Inverses Algebra of Matrices

6. Matrix A =. Find A 2.

7. What is ?

8. If A + B = O and A =, find B, given that O =.

9. What is ?

10. Find a and b if aA + B = A and A = and B =.

11. What is a = 3 and b = 4?

12. Find x if x 2 + x + =.

13. What is x = 1?

14. Given A =, X =, B =, and AX=B, find x, y, a, b.

15. What is x=3, y=-2, a=-9, and b=-4?

16. Write the following system of a equations as a matrix equation: 3x – 2y = 5 x + y = 0

17. What is ?

18. Solve the system of equations using matrices: x + 3y = -5 x – y = -1

19. What is x = -2 and y = -1?

20. Use a calculator to solve: 3x + 7y + 4z = -10 4x – 2y + 3z = 16 -x + 3y – 2z = -14

21. What is (1, -3, 2)?

22. For what value of m will the will the system of equations have a) no solution and b) an infinite number of solutions? x + my = 2 (m – 1)x + 2y = m

23. What is a) m = -1 b) m = 2?

24. For what values of a will the system have no solution? ax + y + z = 3 x + ay + z = 2 x + y + az = 1

25. What is -2 and 1?

26. Write down the inverse of the matrix:

27. What is ?

28. Write down the inverse:

29. What is

30. If A= and B = find (AB) -1

31. What is

32. Find the inverse of the matrix:

33. What is

34. If A = A -1 prove that |A| 2 – 1 = 0.

35. Answer must include that if A = A -1 then A = I, and det(I) = 1, therefore 1 2 – 1 = 0.

36. Write down the determinant of the matrix.

37. What is 1?

38. Write down the determinant of the matrix:

39. What is -2a 2 ?

40. Find the determinant of the matrix without the use of the calculator.

41. What is -5?

42. Find the value of x such that the matrix is singular.

43. What is x = 1?

44. Calculate the value of x.

45. What is x = 0, 1, 3?

46. This person was re-elected to the US Senate from North Carolina this week.

47. Who is Richard Burr?

48. Parkland High School consistently wins the state championship in this sport.

49. What is wrestling?

50. Name the populist, conservative/libertarian political movement that emerged in 2009 and is believed to have had a strong influence on this year’s election.

51. What is the Tea Party movement?

52. Name the most famous mathematician of all time whose work “The Elements” was first published in 1842.

53. Who is Euclid?

54. This famous mathematician was considered a child prodigy, and was said to have found the sum of the numbers 1 to 100 within seconds as a child.

55. Who is Gauss?

56. Make your wager

57. Final Answer

58. Final Question