Starting with the matrix on the bottom of page 388, use Maple
to perform Householder transformations, generating a tridiagonal
matrix that is similar to A.
2.
Use eigenvalues to find the eigenvalues of A
and the tridiagonal matrix, and confirm that they are similar.
Hint: Make one of the elements of the matrix a floating-point
number, then eigenvalues will run faster and return numerical
answers. Also, subsequent calculations will be done in FP without
your having to put evalf's all over the place.