A normalized mode-shape vector for a two degree-of-freedom system is (left[begin{array}{ll}0.1 & 0.3end{array} ight]^{T}). The stiffness matrix

A normalized mode-shape vector for a two degree-of-freedom system is \(\left[\begin{array}{ll}0.1 & 0.3\end{array}\right]^{T}\). The stiffness matrix for the system is \(\boldsymbol{K}=\left[\begin{array}{cc}200 & -100 \\ -100 & 300\end{array}\right]\). Calculate the natural frequency corresponding to this mode.