PLS write the code nice and clear so i can follow.

Problem 3: Pivoting Consider the matrix 10-20 1 Find the condition number of A (using cond) and save it in A8.dat. You should find that the condition number is not particularly large, which suggests that any reasonable algorithm should work well with this matrix. It is easy to check by hand that the LU decomposition of A (without pivoting) is 1020 1 1020 and U 0 1 1020 Multiply LU by hand and confirm that LU = A. Now use Matlab to multiply LU and save your answer in A9.dat. Is this close to A? If we switch the rows of A, we get a new matrix 10-20 1 It is easy to check by hand that the LU decomposition of B (without pivoting) is and U-1-1020 L = 10-20