1. What would be the relation between $M_W$ et $M_Z$ if one breaks $SU(2)\otimes U(1)$ via a triplet ?
2. What are the gauge boson masses if one breaks $SU(3)$ through a Higgs field in the fundamental representation ?
3. Diagonalize $\left( \begin{array}{cc} i & 2 \\ 1 & i \end{array} \right)$ via two unitary transforms.