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Identity and Inverse Matrices Solving Systems Using Inverse Matrices

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Presentation on theme: "Identity and Inverse Matrices Solving Systems Using Inverse Matrices"— Presentation transcript:

1 Identity and Inverse Matrices Solving Systems Using Inverse Matrices
Alg 2 –Matrices Jeopardy Matrix Operations Multiplying Matrices Determinants Identity and Inverse Matrices Solving Systems Using Inverse Matrices 10 20 30 40 50

2 10 points Category

3 10 points - Answer Category

4 Perform the indicated operation.
20 points Perform the indicated operation. Category

5 Perform the indicated operation.
20 points - Answer Perform the indicated operation. Category

6 Perform the indicated operation.
30 points Perform the indicated operation.

7 Perform the indicated operation.
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 Perform the indicated operation.
20 points Perform the indicated operation.

15 Perform the indicated operation.
20 points - Answer Perform the indicated operation.

16 Perform the indicated operation.
30 points Perform the indicated operation.

17 Perform the indicated operation.
30 points - Answer Perform the indicated operation.

18 Perform the indicated operation.
40 points Perform the indicated operation.

19 Perform the indicated operation.
40 points - Answer Perform the indicated operation.

20 Perform the indicated operation.
50 points Perform the indicated operation.

21 Perform the indicated operation.
50 points - Answer Perform the indicated operation.

22 10 points NO CALCULATOR!

23 10 points - Answer NO CALCULATOR!

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

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

26 Evaluate the determinant of the matrix.
30 points Evaluate the determinant of the matrix.

27 Evaluate the determinant of the matrix.
30 points - Answer Evaluate the determinant of the matrix.

28 Evaluate the determinant of the matrix.
40 points Evaluate the determinant of the matrix.

29 40 points - Answer -5

30 Evaluate the determinant of the matrix
50 points Evaluate the determinant of the matrix

31 50 points - Answer -4

32 Write the identity 3x3 matrix
10 points Write the identity 3x3 matrix

33 Write the identity 3x3 matrix
10 points - Answer Write the identity 3x3 matrix

34 20 points

35 20 points - Answer

36 Find the inverse of the matrix.
30 points Find the inverse of the matrix.

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

38 Find the inverse of the matrix.
40 points Find the inverse of the matrix.

39 Find the inverse of the matrix.
40 points - Answer Find the inverse of the matrix.

40 Find the inverse of the matrix.
50 points Find the inverse of the matrix.

41 Find the inverse of the matrix.
50 points - Answer Find the inverse of the matrix.

42 Solve the matrix equation.
10 points Solve the matrix equation.

43 You MAY use a CALCULATOR!
10 points - Answer You MAY use a CALCULATOR! Solve the matrix.

44 3x – 7y = -16 -2x + 4y = 8 20 points You MAY use a CALCULATOR!
Use an inverse matrix to solve the linear system. 3x – 7y = -16 -2x + 4y = 8

45 You MAY use a CALCULATOR!
20 points - Answer You MAY use a CALCULATOR! Use an inverse matrix to solve the linear system 3x – 7y = -16 -2x + 4y = 8

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

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

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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