Question: (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)

(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.

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