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Choose the correct option.
If A = [0 a; 0 0], then A¹⁶ is:
If $A = \begin{bmatrix} 0 & a \\ 0 & 0 \end{bmatrix}$, then $A^{16}$ is:
- (a)Unit matrix
- (b)Null matrix
- (c)Diagonal matrix
- (d)Skew matrix
Answer
Answer
Correct option: (b)
Answer: (b) Null matrix
$A^2=\begin{bmatrix}0&0\\0&0\end{bmatrix}$, so $A^{16}=(A^2)^8=O$.