(adsbygoogle = window.adsbygoogle || []).push({}); Inverse of a sum of matrices [solved]

The problem is relatively simple. Given the equation:

[tex](I+2A)^{-1}= \begin{bmatrix}

-1 & 2 \\

4 & 5 \end{bmatrix}[/tex]

Find A.

My problem seems to be that I'm distributing the inverse on the LHS incorrectly. My real question then is, is the following correct?

[tex](I+2A)^{-1}=I^{-1}+\frac{1}{2}A^{-1}[/tex]

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# Homework Help: Inverse of a sum of matrices

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