Write a MATLAB function wilkcondeig(n) that builds the upper Hessenberg matrix Compute the eigenvalue condition numbers of W = wilkcondeig(20). Compute the eigenvalues of Let be the matrix with...

Write a MATLAB function wilkcondeig(n) that builds the upper Hessenberg matrix

Compute the eigenvalue condition numbers of W = wilkcondeig(20).

Compute the eigenvalues of

Let
be the matrix

with the value at index

set to

⁻¹⁰

Compute the eigenvalues of
. Do the perturbations correspond to what you would expect from the condition numbers?

Problem
studies this matrix in more detail.