A mode shape vector of a two degree-of-freedom system is (left[begin{array}{ll}1 & 2end{array} ight]^{T}). The mass matrix

A mode shape vector of a two degree-of-freedom system is \(\left[\begin{array}{ll}1 & 2\end{array}\right]^{T}\). The mass matrix for the system is \(\boldsymbol{M}=\left[\begin{array}{ll}2 & 0 \\ 0 & 3\end{array}\right]\). Calculate the second mode-shape vector.