### 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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Answered: 2. (a) Find the inverse of the matrix…

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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What volume of each of a 5% acid solution and a 65% acid solution should be combined to form 46 ml of a 50% solution? Set up the appropriate equations and solve the system using the inverse of the coefficient matrix. Combine O ml of the 5% acid solution withO mL of the 65% acid solution to form 46 mL of a 50% solution. (Type integers or decimals. Round the final answers to two decimal places as needed. Round all intermediate values to two decimal places as needed.)

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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 =