I'm not sure how to do the following exercise. Could someone help me by either suggesting the knowledge I should have to solve this, or pointing me out in the right direction?
I have tried to expand B and A by substituting X in the equations, and then trying to get the eigenvalues for each. But, for B, I got a 1x1 reduction, while for A, it's a N by N.
When I tried to calculate the eigenvalues, A presented the greatest problem and that's where I got stuck.
But I think that I'm taking the difficult approach and the proof should be simpler.