Find the inverse of the matrix, if it exists. -5-5 A 성을위 2 2 || 2 5 [ 21 21 2 21 5 2 21 21 2 21 | 2 21 5 21 2 21 5 21 5 21 5 21 A is not invertible
Find the inverse of the matrix, if it exists. -5-5 A 성을위 2 2 || 2 5 [ 21 21 2 21 5 2 21 21 2 21 | 2 21 5 21 2 21 5 21 5 21 5 21 A is not invertible
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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Question
![**Find the inverse of the matrix, if it exists.**
Matrix \( A \) is given by:
\[ A = \begin{bmatrix} -5 & -5 \\ 2 & 2 \end{bmatrix} \]
Choose the correct option for the inverse of matrix \( A \):
1. \(\begin{bmatrix} \frac{2}{21} & \frac{5}{21} \\ -\frac{2}{21} & -\frac{5}{21} \end{bmatrix}\)
2. \(\begin{bmatrix} \frac{2}{21} & -\frac{5}{21} \\ -\frac{2}{21} & \frac{5}{21} \end{bmatrix}\)
3. \(\begin{bmatrix} -\frac{2}{21} & -\frac{5}{21} \\ \frac{2}{21} & \frac{5}{21} \end{bmatrix}\)
4. \( A \) is not invertible](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac0f3c56-5561-4b47-8ddf-f02546f51c3e%2Feb6b478f-069f-4653-b77d-3b93519e3cef%2F874sqf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Find the inverse of the matrix, if it exists.**
Matrix \( A \) is given by:
\[ A = \begin{bmatrix} -5 & -5 \\ 2 & 2 \end{bmatrix} \]
Choose the correct option for the inverse of matrix \( A \):
1. \(\begin{bmatrix} \frac{2}{21} & \frac{5}{21} \\ -\frac{2}{21} & -\frac{5}{21} \end{bmatrix}\)
2. \(\begin{bmatrix} \frac{2}{21} & -\frac{5}{21} \\ -\frac{2}{21} & \frac{5}{21} \end{bmatrix}\)
3. \(\begin{bmatrix} -\frac{2}{21} & -\frac{5}{21} \\ \frac{2}{21} & \frac{5}{21} \end{bmatrix}\)
4. \( A \) is not invertible
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