If $A = \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix}$, then $A^{2023}$ is equal to:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → $\begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$ ##
$A = \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix}$
$A^2 = \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix} \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix} = \begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$
$A^{2023} = \begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$.