Bestimme die inverse Matrix von

${\displaystyle {\begin{pmatrix}-{\frac {9}{4}}&0&\cdots &\cdots &0\\0&{\frac {50}{3}}&0&\cdots &0\\\vdots &\ddots &-{\frac {5}{3}}&\ddots &\vdots \\0&\cdots &0&10^{7}&0\\0&\cdots &\cdots &0&{\frac {2}{11}}\end{pmatrix}}.}$