If $A = \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix}$, then $A^{2023}$ is equal to:

$\begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$

The correct answer is Option (3) → $\begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$ ##

$A = \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix}$

$A^2 = \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix} \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix} = \begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$

$A^{2023} = \begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$.