[QUE/QM-23019]

 Find corrections to the eigenvalues of the matrix \(H\) given below to lowest nonvanishing order in \(\epsilon\)
\begin{equation}
H=  \begin{pmatrix}
  1 & \epsilon & 0 \\
  \epsilon & 2 & \epsilon\\
  0 & \epsilon  & 2
  \end{pmatrix}
\end{equation}