What are the pitfalls of Gauss-Elimination method? Solve the following system, using Gauss Elimination Method :

2x+y+z=10

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The Gauss-Elimination method is a widely used technique for solving systems of linear equations. However, it is not without its pitfalls. Here are some common pitfalls associated with the Gauss-Elimination method:

1. Division by zero: If a pivot element becomes zero during the elimination process, division by zero can occur, leading to computational errors or numerical instability. To mitigate this, partial pivoting or scaled partial pivoting techniques can be used.

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