For −3−5−8 do the following: Compute the eigenvalues and eigenvectors of Let −8 randn where randn is a matrix of random entries drawn from the standard normal distribution. Compute the...

For


<sup>−3

−5

−8</sup>

do the following:

Compute the eigenvalues and eigenvectors of

Let

⁻⁸
randn

where randn
is a

matrix of random entries drawn from the standard normal distribution. Compute the eigenvalues and eigenvectors of

Make a general statement about the conditioning of eigenvalues and eigenvectors of a symmetric matrix.