b. -2x+y+6z=18 5x+8 z=-16 3x+2y=10z-3 Write the entries in the inverse matrix as fractions.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Matrix Inversion Problem

Given the system of equations:

1. \(-2x + y + 6z = 18\)
2. \(5x + 8z = -16\)
3. \(3x + 2y - 10z = 3\)

**Task:**
Write the entries in the inverse matrix as fractions.

#### Instructions:
1. Represent the system of equations in matrix form \(AX = B\).
2. Find the inverse of matrix \(A\).
3. Express the entries of the inverse matrix in fractional form.

Note: Ensure familiarity with matrix operations and the concept of matrix inversion before attempting this problem.
Transcribed Image Text:### Matrix Inversion Problem Given the system of equations: 1. \(-2x + y + 6z = 18\) 2. \(5x + 8z = -16\) 3. \(3x + 2y - 10z = 3\) **Task:** Write the entries in the inverse matrix as fractions. #### Instructions: 1. Represent the system of equations in matrix form \(AX = B\). 2. Find the inverse of matrix \(A\). 3. Express the entries of the inverse matrix in fractional form. Note: Ensure familiarity with matrix operations and the concept of matrix inversion before attempting this problem.
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