Is it possible to analytically evaluate the eigenvectors and the eigenvalues of a tridiagonal 3×3 matrix of the form:
$$H=\begin{bmatrix} 0 & a & b \\ c & 0 & a \\ d & c & 0 \end{bmatrix}$$
Is it possible to analytically evaluate the eigenvectors and the eigenvalues of a tridiagonal 3×3 matrix of the form:
$$H=\begin{bmatrix} 0 & a & b \\ c & 0 & a \\ d & c & 0 \end{bmatrix}$$
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