# Show that the $5\times 5$ matrix is not invertable

Find $a$ such that the matrix
$$\begin{pmatrix} 0 & a & 0 & 0 & 0 \\ b & 0 & c & 0 & 0 \\ 0 & d & 0 & e & 0 \\ 0 & 0 & f & 0 & g \\ 0 & 0 & 0 & h & 0 \end{pmatrix}$$ is not invertable, for all values of $a,b,x,d,e,f,g,h$.