07-06_assignment.docx - Name michael Schmidt Date 11/19 School MBHS Facilitator Mrs McLain 6.06 Inverse of a Square Matrix Determine whether statements

07-06_assignment.docx - Name michael Schmidt Date 11/19...

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Name: michael Schmidt Date: 11/19 School: MBHS Facilitator: Mrs. McLain 6.06 Inverse of a Square Matrix Determine whether statements 1 – 4 are true or false. Justify your answer. 1. Non-square matrices have inverses. Answer: True Explanation: The have to have the same number of rows and columns. 2. Multiplication of a matrix and its inverse is commutative. Answer: True Explanation: Must work the same in either order. 3. In a system of linear equations, if the determinant of the coefficient matrix is zero, the system has no solution. Answer: false Explanation: It having a zero just means it is singular and does not have an inverse. Probably infinite solutions.. 4. If you multiply two matrices and obtain the identity matrix, you can assume the matrices are inverses
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Unformatted text preview: of each other. Answer: true Explanation: If the two matrices are square matrices this will happen. 5. Find the inverse of the following matrix, if it exists Answer: [-19-4-33-7 ] 6. Find the inverse of the following matrix, if it exists Answer: Does not exist [ ] 7. Find the inverse of the following matrix, if it exists Answer: [ 1/2 3/4 1/2 ] 8. Find the inverse of the following matrix, if it exists Answer: Undefined [ ] 9. Find the inverse of the following matrix, if it exists Answer: [ 1 2 1 4 2-3 ] 3 6-5 10. Find the inverse of the following matrix, if it exists Answer: [-13 12 6-5 4-3 ]-5 2 1...
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