1. The problem statement, all variables and given/known data Show that |A_ij| ≤ 1 for every entry A_ij of a Unitary Matrix A. 2. Relevant equations A matrix is unitary when A^†*A=I Where † is the hermitian operator, meaning you Transpose and take the complex conjugate and I = the identity matrix 3. The attempt at a solution I'm having a hard time starting this one out. It seems to make sense to me, as we need to find a way to make them equal the identity matrix. So we have something like: [Aij*T][Aij] [Aji*][Aij] I'm not quite sure where to go in any direction, how I can get the necessary conditions applied to this proof. Any point of guidance may help.