Diagonalize to obtain the eigenvector matrix and the diagonal matrix of eigenvalues, Now let Compute and 2. Why is the behavior in part predicted by the Bauer-Fike theorem? Which eigenvalues are...

Diagonalize

to obtain the eigenvector matrix

and the diagonal matrix of eigenvalues,
Now let

Compute

and


₂. Why is the behavior in part

predicted by the Bauer-Fike theorem? Which eigenvalues are actually ill-conditioned, and why