Besides the Hilbert matrix, there are other matrices that are inherently ill-conditioned. One such case is the

Question:

Besides the Hilbert matrix, there are other matrices that are inherently ill-conditioned. One such case is the vandermonde matrix, which has the following form:

(a) Determine the condition number based on the row-sum norm for the case where x1 = 4, x2 = 2, and x3 = 7.(b) Use MATLAB software to compute the spectral and Frobenius conditionnumbers.