Let $A, B$ and $C$ be three $2 \times 2$ matrices with real entries such that $B={(I+A)}^{−1}$ and $A+C=I$. If $BC=\left[\begin{matrix}1 & −5 \ −1 & 2\end{matrix}\right]$ and $CB\left[\begin{matrix}{x}_{1} \ {x}_{2}\end{matrix}\right]=\left[\begin{matrix}12 \ −6\end{matrix}\right]$, then ${x}_{1}+{x}_{2}$ is

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Let \(A, B\) and \(C\) be three \(2 \times 2\) matrices with real entries such that \(B={(I+A)}^{−1}\) and \(A+C=I\). If…

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