Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { l l l } 1 & - 2 & 5 \\1 & - 1 & 2 \\2 & - 3 & 7\end{array} \right]$$

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { l l l } 1 & - 2 & 5 \\1 & - 1 & 2 \\2 & - 3 & 7\end{array} \right]$$

A) The inverse does not exist.
B)
$$\left[ \begin{array} { c c c } 1 & 1 & 2 \\- 2 & - 1 & - 3 \\5 & 2 & 7\end{array} \right]$$
C)
$\left[\begin{array}{lll}1 & 0 & -1 \\0 & 1 & -3 \\0 & 3 & 0\end{array}\right]$
D)
$\left[\begin{array}{ccc}1 & 0 & -1 \\0 & 1 & -3 \\0 & 0 & 0\end{array}\right]$

Correct Answer:

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