Math Transition To College Math - Unit 13: Inverses of Matrices
1) What is the value of the determinant of the matrix? Does the matrix have an inverse?

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2) What is the value of the determinant of the matrix? Does the matrix have an inverse?

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3) What is the value of the determinant of the matrix? Does the matrix have an inverse?

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4) What is the value of the determinant of the matrix? Does the matrix have an inverse?

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5) Use the expansion of minors to determine the value of the determinant for the 3 x 3 matrix.

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6) Use the expansion of minors to determine the value of the determinant for the 3 x 3 matrix.

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7) Explain how you found the answer to the previous problem.

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8) Determine if the pair of matrices are inverses of each other. If they are, explain how you know this.

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9) Determine if the pair of matrices are inverses of each other. If they are, explain how you know this.

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10) Find the inverse matrix, if it exists. If the inverse does not exist, write no inverse. List your answer as Row 1: x y z; Row 2: x y z.

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11) Find the inverse matrix, if it exists. If the inverse does not exist, write no inverse. List your answer as Row 1: x y z; Row 2: x y z.

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12) Write the matrix equation that represents the system. Just type your answer, by rows, without the matrix symbols.

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13) Write the matrix equation that represents the system. Just type your answer, by rows, without the matrix symbols.

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14) Write the system of equations represented by the matrix equation.

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15) Write the system of equations represented by the matrix equation.

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16) Solve the system of equations by using matrices.

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17) Solve the system of equations by using matrices.

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18) Solve the system of equations by using matrices.

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19) Solve the system of equations by using matrices.

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Short Answer

20) Which of the following matrices have a determinant? Explain.

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21) How can you use the determinant of a matrix to determine whether the matrix has an inverse?

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22) The system below can be represented by a matrix equation. What are the dimensions of the coefficient matrix? Explain.

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