This is part of a bigger question, though I've answered much of the parts before this part. I'll list the data before I list the question.
(The columns of are the eigenvectors of , just to note)
Now onto the question.
Let be the diagonal matrix whose entry is the eigenvalue corresponding to column of . Compute . Does ?
It's probably not that hard, but I'm a little short on time due to other matters. I'm also not sure whether or not there was a typo on the question we were given.