Linear Algebra

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3x3 Matrix Inverse

LINALG-1GBBAQ

Find the inverse of the matrix:

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

A

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

B

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

C

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

D

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

E

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