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I have this matrix A

\[A=\begin{pmatrix} 1 &2 &3 &4 \\ 9 &8 &2 &0 \\ 17 &2 &0 &0 \\ 1 &0 &0 &0 \end{pmatrix}\]

B is defined as the inverse of A. I need to find the element in the first row and fourth column of B, without using determinants, so without using adjoint.

How should I do it then ?

Thanks !