Assignment 1- Numerical Analysis for Scientists-2019

1. Consider the following system
(a) (5 marks) Use hand calculations to solve the system using Gaussian elimination
method with no pivoting.
(b) (7 marks) Use hand calculations to solve the system using Gaussian elimination
method with partial pivoting.
2. (a) (5 marks) Use Matlab to generate a 7 x 7 Hilbert matrix H, where H(i; j) =
. Use Matlab to find the determinant and the inverse of H. Also find the
condition number of H, using the infinity (uniform) norm.