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Linear Algebra

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Find 3x3 Inverse 4

LINALG-1RQ477

Find the inverse of the matrix:

$$\begin{pmatrix}6&-2&4\\\ 3&3&6\\\ -1&6&5\end{pmatrix}$$

...if it exists.

A

$\begin{pmatrix}3&-2&0\\\ 3&-5&\cfrac{7}{2}\\\ -3&5&-2\end{pmatrix}$

B

$\begin{pmatrix}3&-2&0\\\ 3&-5&\cfrac{7}{2}\\\ 3-&5&-2\end{pmatrix}$

C

$\begin{pmatrix}3&-\cfrac{7}{2}&3\\\ 1&-4&3\\\ -2&5&-3\end{pmatrix}$

D

$\begin{pmatrix}-3&\cfrac{7}{2}&-3\\\ -1&4&-3\\\ 2&-5&3\end{pmatrix}$

E

This matrix is not invertible