This problem assumes access to the MATLAB Symbolic Math Toolbox. Let Show that the condition number of both eigenvalues of is by executing the following statements Using the formula, compute the...

This problem assumes access to the MATLAB Symbolic Math Toolbox. Let

Show that the condition number of both eigenvalues of

is

by executing the following statements

Using the formula, compute the condition number of the eigenvalues for

^-6

By entering

compute the condition number of the eigenvalues using floating point arithmetic.

Explain why the matrix

has ill-conditioned eigenvalues.