Answer:
Given matrix\[A=\left[ \begin{matrix} 2-k & 4 \\ -\,5 & 1 \\ \end{matrix} \right]\]is not invertible. i.e. A is singular matrix, then \[|A|\,\,=0\]. \[\Rightarrow \] \[\left| \begin{matrix} 2-k & 4 \\ -\,5 & 1 \\ \end{matrix} \right|=0\] \[\Rightarrow \] \[2-k+20=0\] \[\Rightarrow \] \[22-k=0\] \[\therefore \] \[k=22\]
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