Use a graphing utility to find the inverse, if it exists, of the given matrix. Matrix: \[ \begin{bmatrix} 25 & 57 & -17 \\ 21 & -2 & 8 \\ -9 & -40 & 27 \end{bmatrix} \] Select the correct choice below and, if necessary, fill in the answer box within your choice. - A. The inverse of the matrix \[ \begin{bmatrix} 25 & 57 & -17 \\ 21 & -2 & 8 \\ -9 & -40 & 27 \end{bmatrix} \] is [ ]. (Type an integer or decimal for each matrix element. Round to two decimal places as needed.) - B. The matrix has no inverse. Use the given inverse of the coefficient matrix to solve the following system of equations. \[ \begin{align*} 25x + 62y - 12z &= 10 \\ 18x - 12y + 7z &= -9 \\ 5x + 6y - z &= 13 \\ \end{align*} \] The inverse matrix provided is: \[ \begin{bmatrix} -0.06 & -0.02 & 0.56 \\ 0.10 & 0.07 & -0.75 \\ 0.32 & 0.31 & -2.72 \\ \end{bmatrix} \] The solution is \(x = \_\_\), \(y = \_\_\), and \(z = \_\_\). *(Round to two decimal places as needed.)*

Use a graphing utility to find the inverse, if it exists, of the given matrix. Matrix: \[ \begin{bmatrix} 25 & 57 & -17 \\ 21 & -2 & 8 \\ -9 & -40 & 27 \end{bmatrix} \] Select the correct choice below and, if necessary, fill in the answer box within your choice. - A. The inverse of the matrix \[ \begin{bmatrix} 25 & 57 & -17 \\ 21 & -2 & 8 \\ -9 & -40 & 27 \end{bmatrix} \] is [ ]. (Type an integer or decimal for each matrix element. Round to two decimal places as needed.) - B. The matrix has no inverse. Use the given inverse of the coefficient matrix to solve the following system of equations. \[ \begin{align} 25x + 62y - 12z &= 10 \\ 18x - 12y + 7z &= -9 \\ 5x + 6y - z &= 13 \\ \end{align} \] The inverse matrix provided is: \[ \begin{bmatrix} -0.06 & -0.02 & 0.56 \\ 0.10 & 0.07 & -0.75 \\ 0.32 & 0.31 & -2.72 \\ \end{bmatrix} \] The solution is \(x = \_\_\), \(y = \_\_\), and \(z = \_\_\). (Round to two decimal places as needed.)

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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