MATH Advanced Math  - Unit 12: Matrices and Systems of Equations
Use the following matrix to solve the first two problems.

1) What is the determinant of the matrix?

2) Does the matrix have an inverse?

Use the following matrix to solve the next two problems.

3) What is the determinant of the matrix?

4) Does the matrix have an inverse?

Use the following matrix to solve the next two problems.

5) What is the determinant of the matrix?

6) Does the matrix have an inverse?

Use the following matrix to solve the next two problems.

7) What is the determinant of the matrix?

8) Does the matrix have an inverse?

For the next two problems, determine if each pair of matrices are inverses of one another.

9) Are the matrices inverses of each other?

10) Are the matrices inverses of each other?

Use the following matrix to solve the next two problems. State the letter of the correct answer.

11) Determinant = ?

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12) Inverse Matrix = ?

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Use the following matrix to solve the next two problems. State or select the letter of the correct answer, whichever is appropriate.

13) Determinant = ?

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14) Inverse Matrix = ?

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For the next four problems, state the letter of the matrix equation that represents each system.

15) State the letter of the matrix equation that matches the given system.

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16) State the letter of the matrix equation that matches the given system.

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17) State the letter of the matrix equation that matches the given system.

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18) State the letter of the matrix equation that matches the given system.

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For the next two problems, solve each system of equations by using matrices. State the letter of the correct answer.

19) Solve

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20) Solve.

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For the next three problems, determine if each of the following matrices have a determinant.

21) Does Matrix [A] have a determinant?

22) Does Matrix [B] have a determinant?

23) Does Matrix [C] have a determinant?

24) The system below can be represented by a matrix equation. What are the dimensions of the coefficient matrix? State the letter of the correct answer.

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Refer back to problem #15 and use your graphing calculator to solve the “system of equations”. Transform all answers to fractions.

25) What is the solution for "x" in problem #15?

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26) What is the solution for "y" in problem #15?

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27) What is the solution for "z" in problem #15?

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Refer back to problem #16 and use your graphing calculator to solve the “system of equations”. Transform all answers to fractions.

28) What is the solution for "x" in problem #16?

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29) What is the solution for "y" in problem #16?

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30) What is the solution for "z" in problem #16?

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Refer back to problem #17 and use your graphing calculator to solve the “system of equations”. Transform all answers to fractions.

31) What is the solution for "x" in problem #17?

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32) What is the solution for "y" in problem #17?

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33) What is the solution for "z" in problem #17?

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Refer back to problem #18 and use your graphing calculator to solve the “system of equations”. Transform all answers to fractions.

34) What is the solution for "x" in problem #18?

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35) What is the solution for "y" in problem #18?

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36) What is the solution for "z" in problem #18?

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