2. (a) Find the inverse of the matrix A. A = (1₂6) 56 (b) Use your answer from (a) to find the solutions to the following system. You must use A-1 to find the solutions to get credit. x + y 2 5x + 6y = 9 =
2. (a) Find the inverse of the matrix A. A = (1₂6) 56 (b) Use your answer from (a) to find the solutions to the following system. You must use A-1 to find the solutions to get credit. x + y 2 5x + 6y = 9 =
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
![### Problem 2
#### (a)
Find the inverse of the matrix \( A \).
\[ A = \begin{pmatrix} 1 & 1 \\ 5 & 6 \end{pmatrix} \]
#### (b)
Use your answer from (a) to find the solutions to the following system. You must use \( A^{-1} \) to find the solutions to get credit.
\[
\begin{align*}
x + y &= 2 \\
5x + 6y &= 9
\end{align*}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c77c8ca-cf2a-49c8-86aa-e4a7d9346a8b%2Fd1d2c6bb-3fe7-4987-99f0-7e7501be17f1%2Fr10zuz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem 2
#### (a)
Find the inverse of the matrix \( A \).
\[ A = \begin{pmatrix} 1 & 1 \\ 5 & 6 \end{pmatrix} \]
#### (b)
Use your answer from (a) to find the solutions to the following system. You must use \( A^{-1} \) to find the solutions to get credit.
\[
\begin{align*}
x + y &= 2 \\
5x + 6y &= 9
\end{align*}
\]
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