IMathAS-libretexts

To find the multiplicative inverse of $\displaystyle {A},$ one needs to perform the row operations on $\displaystyle {\left[{A}{\mid}{I}_{{n}}\right]}$ to obtain $\displaystyle {\left[{I}_{{n}}{\mid}{B}\right]}$ where $\displaystyle {B}=$

$\displaystyle {\left({I}_{{n}}\right)}^{{-{1}}}$
$\displaystyle {I}_{{n}}$
$\displaystyle {A}^{{-{1}}}$
$\displaystyle {A}$

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