matlab

(a) Create a matrix A R4040 using

Matlab commands >> rng(2251);

 >> A=randn(40,40)*3; 

Find the number of row-swaps (that is, of EROs of type III) which the Gaussian Elimination Algorithm with Partial Pivoting would require to calculate the determinant of the matrix A. To find out whether a number, say, a is zero or not use the condition |a| < 1010 instead of a = 0.