In Exercises 43 and 44, use the inverse matrix found in Exercise 28 and the matrix

Chapter 8, Problem 43

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Solving a System of Linear Equations In Exercises 43 and 44, use the inverse matrix found in Exercise 28 and the matrix capabilities of a graphing utility to solve the system of linear equations.

\(\left\{\begin{aligned} x_{1}-2 x_{2}-x_{3}-2 x_{4}=& 0 \\ 3 x_{1}-5 x_{2}-2 x_{3}-3 x_{4}=& 1 \\ 2 x_{1}-5 x_{2}-2 x_{3}-5 x_{4}=&-1 \\ -x_{1}+4 x_{2}+4 x_{3}+11 x_{4}=& 2 \end{aligned}\right.\)

Text Transcription:

{ _-x_1 + 4x_2 + 4x_3 + 11x_4 = 2  ^ 2x_1 - 5x_2 - 2x_3 - 5x_4 = -1  ^^3x_1 - 5x_2 - 2x_3 - 3x_4 = 1 ^^^x_1 - 2x_2 - x_3 - 2x_4 = 0

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