1. The problem statement, all variables and given/known data Here's my problem. I only need help with the bottom part, but if you could explain the problem more vividly that would help too. 2. Relevant equations A = S-1BS (?) There aren't really any relevant equations. This part of linear algebra is getting really abstract, at least I think so. If there are any equations, I'm not aware of them. 3. The attempt at a solution The problem I'm assigned for homework is very similar to this. I'm almost sure I got the answer right, but I don't completely understand the question. Why does the basis give that specific matrix B? What do you do with the basis to get B?