Question
Asked Oct 13, 2019
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Solve the system of equations using matrices. Use​ Gauss-Jordan elimination.

4x -4y
-11
-Z
x -8y 2z
-71
- 8x
- 44
y
Z
II
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4x -4y -11 -Z x -8y 2z -71 - 8x - 44 y Z II

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Expert Answer

Step 1

The augmented matrix of the system is given by,

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-4 -1-11 4 -8 -271 1 -8 1 1 -44

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Step 2

Solve the above matrix using Gauss Jorda...

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4-4 1-11 (R, R+2R) -8 -271 1 -166 0 -7 1 11 1 -1 -71 1 -8 -2 4 0 -7 -66 -1 1 11 1 -1 4 4 7 273 0 -7 (R, R-R) 4 4 0 -7 -1 -66 1 11 1 -1 4 7 0 -7 273 (R = R - R,) 4 4 3 0 0 4

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