matrix in normal coordinates

Question

Writing the matrix $ \begin{pmatrix} -\frac{k}{\gamma} & \frac{k}{\gamma}&0&0&0&\cdots&0&0&0&0 \\ \frac{k}{\gamma} &-2\frac{k}{\gamma}& \frac{k}{\gamma}&0&0&\cdots&0&0&0&0 \\ 0&\frac{k}{\gamma} &-2\frac{k}{\gamma}& \frac{k}{\gamma}&0&\cdots&0&0&0&0 \\ \vdots&\vdots &\vdots& \vdots&\vdots&\cdots&\vdots&\vdots&\vdots&\vdots \\ 0&0&0&0&0&\cdots&\frac{k}{\gamma} &-2\frac{k}{\gamma}& \frac{k}{\gamma}&0\\ 0&0&0&0&0&\cdots&0&\frac{k}{\gamma} &-2\frac{k}{\gamma} & \frac{k}{\gamma} \\ 0&0&0&0&0&\cdots&0&0&\frac{k}{\gamma'} & \frac{k}{\gamma'} \end{pmatrix}$ in terms of normal coordinates. How does one begin ? It represents the matrix of a set of differential equations.