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Linear Algebra

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2x2 Matrix Inverse - 0, 1, -2, 0

LINALG-HNLVJB

Find the inverse of the matrix

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

...if it exists.

A

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

B

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

C

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

D

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

E

The given matrix is not invertible.