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Linear Algebra

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2x2 Matrix Inverse - 1, 2, 3, 6

LINALG-EQJEEV

Find the inverse of the matrix:

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

...if it exists.

A

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

B

$\begin{pmatrix}1&\cfrac{1}{2}\\\ \cfrac{1}{3}&\cfrac{1}{6}\end{pmatrix}$

C

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

D

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

E

The given matrix is not invertible.