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# Systems of Equations : Gaussian Elimination with Scaled Partial Pivoting

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In a linear system

2x + 3y =8
-x + 2y - z =0
3x +2 z=9

I am attempting to solve for x,y, and z using the Gaussian elimination with scaled partial pivoting. I also need to show intermediate matrices and vectors.

https://brainmass.com/math/linear-algebra/systems-equations-gaussian-elimination-scaled-partial-pivoting-23530

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2x + 3y =8
-x + 2y - z =0
3x +2 z=9

The system is of the form

2 3 0 x 8
-1 2 -1 y 0
3 0 2 z 9

Start by forming the scale vector. It has the largest coefficient (in magnitude) of each ...

#### Solution Summary

A System of Equations is solved using Gaussian Elimination with Scaled Partial Pivoting. The solution is detailed and well-presented.

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