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**Alg 2 - Chapter 4 Jeopardy 10 20 30 40 50 Matrix Operations**

Multiplying Matrices Determinants, Area of Triangle & Cramer's Rule Identity and Inverse Matrices Solving Systems Using Inverse Matrices 10 20 30 40 50

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10 points Category

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10 points - Answer Category

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**Perform the indicated operation.**

20 points Perform the indicated operation. Category

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**Perform the indicated operation.**

20 points - Answer Perform the indicated operation. Category

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**Perform the indicated operation.**

30 points Perform the indicated operation.

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**Perform the indicated operation.**

30 points - Answer Perform the indicated operation.

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40 points Solve the matrix equation for x and y.

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

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50 points Solve the matrix equation for x and y.

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

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10 points

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10 points - Answer

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**Perform the indicated operation.**

20 points Perform the indicated operation.

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**Perform the indicated operation.**

20 points - Answer Perform the indicated operation.

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**Perform the indicated operation.**

30 points Perform the indicated operation.

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**Perform the indicated operation.**

30 points - Answer Perform the indicated operation.

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**Perform the indicated operation.**

40 points Perform the indicated operation.

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**Perform the indicated operation.**

40 points - Answer Perform the indicated operation.

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**Perform the indicated operation.**

50 points Perform the indicated operation.

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**Perform the indicated operation.**

50 points - Answer Perform the indicated operation.

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10 points NO CALCULATOR!

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10 points - Answer NO CALCULATOR!

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**Evaluate the determinant of the matrix.**

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

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**Evaluate the determinant of the matrix.**

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

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**Evaluate the determinant of the matrix.**

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

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**Evaluate the determinant of the matrix.**

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

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**Find the area of the triangle with the given vertices.**

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

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**Find the area of the triangle with the given vertices.**

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

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**You MAY use a CALCULATOR!**

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

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**50 points - Answer You MAY use a CALCULATOR!**

Use Cramer's rule to solve the linear system. Show what you are entering in your calculator.

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**Write the identity 3x3 matrix**

10 points Write the identity 3x3 matrix

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**Write the identity 3x3 matrix**

10 points - Answer Write the identity 3x3 matrix

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20 points NO CALCULATOR!

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20 points - Answer

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**Find the inverse of the matrix. SHOW WORK!**

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

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**Find the inverse of the matrix. SHOW WORK!**

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

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**Find the inverse of the matrix. SHOW WORK!**

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

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**Find the inverse of the matrix. SHOW WORK!**

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

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**Find the inverse of the matrix. SHOW WORK!**

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

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**Find the inverse of the matrix. SHOW WORK!**

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

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**You MAY use a CALCULATOR!**

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

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**You MAY use a CALCULATOR!**

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

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**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

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**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

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**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

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**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

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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.

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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.

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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%?

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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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Inverse and Identity Matrices Can only be used for square matrices. (2x2, 3x3, etc.)

Inverse and Identity Matrices Can only be used for square matrices. (2x2, 3x3, etc.)

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