Problem 5: Condition numbers

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 #₁ = 3,

x2 = 5, and x3 = 2.

(B) Use MATLAB to compute the norm-2 and Frobenius condition numbers.