1. The problem statement, all variables and given/known data Let A be an nxn matrix, and let |v>, |w> ∈ℂ. Prove that (A|v>)*|w> = |v>*(A†|w>) † = hermitian conjugate 2. Relevant equations 3. The attempt at a solution Struggling to start this one. I'm sure this one is likely relatively quick and painless, but I need to identify the trick behind it. Are there any tips? My only current thought is to use the properties of inner products. Should I look at each element of the matrix A one by one?