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Linear Algebra

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Moderate

Find 3x3 Inverse - 1

LINALG-7DEEEK

Find the inverse of the matrix:

$$\begin{pmatrix}-1&0&2\\\ 2&2&2\\\ 3&2&1\end{pmatrix}$$

...if it exists.

A

$\begin{pmatrix}1&-2&2\\\ -2&\cfrac{7}{2}&-3\\\ 1&-1&1\end{pmatrix}$

B

$\begin{pmatrix}2&-4&4\\\ -4&7&-6\\\ 2&-2&2\end{pmatrix}$

C

$\begin{pmatrix}1&0&0\\\ 0&1&0\\\ 0&0&1\end{pmatrix}$

D

$\begin{pmatrix}1&0&-2\\\ -2&-2&-2\\\ -3&-2&-1\end{pmatrix}$

E

This matrix is not invertible