[Steps Shown] Find the inverse of the matrix algebraically, if it exists. Show your algebraic steps.
Question: Find the inverse of the matrix algebraically, if it exists. Show your algebraic steps.
\[A=\left[\begin{array}{ccc} 1 & 2 & -1 \\ -4 & -7 & 3 \\ -2 & -6 & 4 \end{array}\right]\]
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