# Question #1d3d1

##### 1 Answer

Feb 8, 2017

See below.

#### Explanation:

For part 1), let's say that

Well then

For part 2), if we say that

IOW, repeated eigenvalues, and for a 2x2, we have eigenvalues

So they're real and repeated, and of the same sign, BUT not always non-negative.

Those are the obvious counter-examples I could think of, but they're not that good, tbh.

But the question is so open you can let