The purpose of this program is to test Gaussian Elimination (without pivoting) on Hilbert’s Matrix which is known to be very ill-conditioned. We will also do an operation count and compute the errors in our solution. Consider three systems of equations defined by H x = b, n = size of H. We will take n = 11,12 and 13, where b is a vector chosen in such a way that the exact solution of our system is [1 1 1 1 …. 1].
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