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Alg 2 - Chapter 4 Jeopardy Matrix Operations Multiplying Matrices Determinants, Area of Triangle & Cramer's Rule Identity and Inverse Matrices Solving.

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Presentation on theme: "Alg 2 - Chapter 4 Jeopardy Matrix Operations Multiplying Matrices Determinants, Area of Triangle & Cramer's Rule Identity and Inverse Matrices Solving."— Presentation transcript:

1 Alg 2 - Chapter 4 Jeopardy Matrix Operations Multiplying Matrices Determinants, Area of Triangle & Cramer's Rule Identity and Inverse Matrices Solving Systems Using Inverse Matrices

2 10 points

3 10 points - Answer

4 20 points Perform the indicated operation.

5 20 points - Answer Perform the indicated operation.

6 30 points Perform the indicated operation.

7 30 points - Answer Perform the indicated operation.

8 40 points Solve the matrix equation for x and y.

9 40 points - Answer Solve the matrix equation for x and y.

10 50 points Solve the matrix equation for x and y.

11 50 points - Answer Solve the matrix equation for x and y.

12 10 points

13 10 points - Answer

14 20 points Perform the indicated operation.

15 20 points - Answer Perform the indicated operation.

16 30 points Perform the indicated operation.

17 30 points - Answer Perform the indicated operation.

18 40 points Perform the indicated operation.

19 40 points - Answer Perform the indicated operation.

20 50 points Perform the indicated operation.

21 50 points - Answer Perform the indicated operation.

22 10 points NO CALCULATOR!

23 10 points - Answer NO CALCULATOR!

24 20 points Evaluate the determinant of the matrix. NO CALCULATOR!

25 20 points - Answer Evaluate the determinant of the matrix. NO CALCULATOR!

26 30 points Evaluate the determinant of the matrix. NO CALCULATOR!

27 30 points - Answer Evaluate the determinant of the matrix. NO CALCULATOR!

28 40 points Find the area of the triangle with the given vertices. NO CALCULATOR!

29 40 points - Answer Find the area of the triangle with the given vertices. NO CALCULATOR!

30 50 points Use Cramer's rule to solve the linear system. Show what you are entering in your calculator. You MAY use a CALCULATOR!

31 50 points - Answer Use Cramer's rule to solve the linear system. Show what you are entering in your calculator. You MAY use a CALCULATOR!

32 10 points Write the identity 3x3 matrix

33 10 points - Answer Write the identity 3x3 matrix

34 20 points NO CALCULATOR!

35 20 points - Answer

36 30 points Find the inverse of the matrix. SHOW WORK! NO CALCULATOR!

37 30 points - Answer Find the inverse of the matrix. SHOW WORK! NO CALCULATOR!

38 40 points Find the inverse of the matrix. SHOW WORK! NO CALCULATOR!

39 40 points - Answer Find the inverse of the matrix. SHOW WORK! NO CALCULATOR!

40 50 points Find the inverse of the matrix. SHOW WORK! NO CALCULATOR!

41 50 points - Answer Find the inverse of the matrix. SHOW WORK! NO CALCULATOR!

42 10 points Solve the matrix equation. Show what you are entering in your calculator. You MAY use a CALCULATOR!

43 10 points - Answer Solve the matrix equation.Show what you are entering in your calculator. You MAY use a CALCULATOR!

44 20 points Use an inverse matrix to solve the linear system. 3x – 7y = x + 4y = 8 You MAY use a CALCULATOR!

45 20 points - Answer Use an inverse matrix to solve the linear system 3x – 7y = x + 4y = 8 You MAY use a CALCULATOR!

46 30 points Use an inverse matrix to solve the linear system. 2x + 3y = -8 x + 2y = -3 You MAY use a CALCULATOR!

47 30 points - Answer Use an inverse matrix to solve the linear system. 2x + 3y = -8 x + 2y = -3 You MAY use a CALCULATOR!

48 40 points Skating Party - Your planning a birthday party for your younger brother at a skating rink. The cost of admission is $3.50 per adult and $2.25 per child, and there is a limit of 20 people. You have $50 to spend. Use an inverse matrix to determine how many adults and how many children you can invite.

49 40 points - Answer Skating Party - Your planning a birthday party for your younger brother at a skating rink. The cost of admission is $3.50 per adult and $2.25 per child, and there is a limit of 20 people. You have $50 to spend. Use an inverse matrix to determine how many adults and how many children you can invite.

50 50 points Stock Investment – You have $9000 to invest in three Internet companies listed on the stock market. You expect the annual returns for companies A, B, and C to be 10%, 9%, and 6%, respectively. You want the combined investment in companies B and C to be twice that of company A. How much should you invest in each company to obtain an average return of 8%?

51 50 points - Answer Stock Investment – You have $9000 to invest in three Internet companies listed on the stock market. You expect the annual returns for companies A, B, and C to be 10%, 9%, and 6%, respectively. You want the combined investment in companies B and C to be twice that of company A. How much should you invest in each company to obtain an average return of 8%?


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