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I am looking for a way to solve the following equation:

$$(I + \alpha M)X=F$$

$\forall \alpha \in R$ (the real domain), with $M$ a square complex matrix without any particular properties, $I$ the identity matrix, $F$ a complex vector and $X$ the unknown.

Thank you,

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  • $\begingroup$ Suppose $\alpha=-1$ and $M=I$. $\endgroup$ – John Douma Oct 29 '18 at 22:33

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