Give several ways in which Gaussian Elimination is improved by adding pivoting.

1.Give several ways in which Gaussian

Elimination is improved by adding pivoting.

2.Give an example of a 3×3 matrix equation that requires some type of pivoting to solve correctly

using Gaussian Elimination. Show that Gaussian Elimination fails without pivoting and explain

why pivoting would solve the problem.

3.approximate the flops needed to complete Partial Pivoting on an n×n matrix A

4.pproximate the flops needed to complete Full Pivoting on an n×n matrix A