1. Programming #4 Computer Problems
Write some general programs to carry out Gaussian elimination with no pivoting (i.e., basic Gaussian elimination ) and Gaussian elimination with scaled row pivoting, respectively. Use your programs to solve the systems
with and
Please report both your factorization (i.e., PA=LU, P=?, L=?, U=?, or the final extended upper triangular matrix (U|b)) and numerical solutions x*.
Compare these two methods (e.g., including their numerical solutions and their advantages/disadvantages).