Find the inverse, if it exists, for the given matrix. 5-9 4 -7 ... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The inverse matrix is B. There is no inverse of the given matrix. (Type a matrix, using an integer or simplified fraction for each matrix element. Do not factor out a scalar multiple.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Finding the Inverse of a Matrix**

**Problem Statement:**

Find the inverse, if it exists, for the given matrix:

\[
\begin{bmatrix}
5 & -9 \\
4 & -7 \\
\end{bmatrix}
\]

---

**Instructions:**

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

**Options:**

A. The inverse matrix is \[ \_\_\_ \] (Type a matrix, using an integer or simplified fraction for each matrix element. Do not factor out a scalar multiple.)

B. There is no inverse of the given matrix.
Transcribed Image Text:**Finding the Inverse of a Matrix** **Problem Statement:** Find the inverse, if it exists, for the given matrix: \[ \begin{bmatrix} 5 & -9 \\ 4 & -7 \\ \end{bmatrix} \] --- **Instructions:** Select the correct choice below and, if necessary, fill in the answer box to complete your choice. **Options:** A. The inverse matrix is \[ \_\_\_ \] (Type a matrix, using an integer or simplified fraction for each matrix element. Do not factor out a scalar multiple.) B. There is no inverse of the given matrix.
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