Question:
Gaussian Elimination with Partial Pivoting
Solve the following system using Gaussian elimination with partial pivoting:
|1 -1 2 |---- |x1|-----|-2 |
|-2 1 -1 |--- |x2|--=-| 2 |
|4 -1 2 |-----|x3|----|-1 |
Show intermediate matrices, vectors and multipliers at each step.