Problem set on Gaussian Elimination
Problem Set
Chapter 04.06
Gauss Elimination
1. Use Naïve Gauss elimination to solve
[pic]
2. Assume that you are using a computer with four significant digits with chopping. Use Naïve Gauss elimination method to solve
[pic]
3. For
[A][pic]
Find the determinant of [A] using forward elimination step of naïve Gauss elimination method.
4. At the end of forward elimination steps using naïve Gauss elimination method on the coefficient matrix
[A][pic]
[A] reduces to
[B][pic]
What is the determinant of [pic]?
5. Using Gaussian elimination with partial pivoting to solve
[pic]
6. Assume that you are using a computer with four significant digits with chopping, use Gaussian elimination with partial pivoting to solve
[pic]
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