1. The problem statement, all variables and given/known data Prove the Schwartz Inequality /<u, v>/ is < or = //u//*//v// for the Hermitian product. 2. Relevant equations 3. The attempt at a solution Assume u, v are non-zero. For any r, s exist in set of complex numbers, //rv + su// is > or = 0. Then, //rv + su//^2 = <rv+su, rv+su> = <rv, rv> + <rv, su> + <su, rv> + <su, su> = r^2<v, v> + rs <v, u> + sr <u, v> + s^2 <u, u> is > or = 0 Not sure where to go from there...set r = <u u> and s = ....?? I don't know. Note: I was working off of the proof of the inequality for the dot product. I am just not sure how the Hermitian properties affect it. is <v, u> = <u, v>, etc.