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# Find the inverse of the matrix (if it exists) $A = \left( {\begin{array}{*{20}{c}} 2&{ - 2} \\ 4&3 \end{array}} \right)$

Last updated date: 26th Mar 2023
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We know that if we have a matrix $X$ $=$ $\left( {\begin{array}{*{20}{c}} {{a_{}}}&b \\ c&d \end{array}} \right)$
Inverse of $X = \dfrac{1}{{ad - bc}}\left( {\begin{array}{*{20}{c}} d&{ - b} \\ { - c}&a \end{array}} \right)$
$\left( {\begin{array}{*{20}{c}} 2&{ - 2} \\ 4&3 \end{array}} \right) = \dfrac{1}{{14}}\left( {\begin{array}{*{20}{c}} 3&2 \\ { - 4}&2 \end{array}} \right)$