If $A=\begin{bmatrix}2a & 0 & 0\\0 & 2a & 0 \\0 & 0 & 2a\end{bmatrix}$, then the value of |adj A| is :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → $64a^6$
$A=\begin{bmatrix}2a & 0 & 0\\0 & 2a & 0 \\0 & 0 & 2a\end{bmatrix}$
$|A|=(2a)^3=8a^3$
$|Adj\,A|=|A|^{n-1}$
n → order of A
$|Adj\,A|=|A|^2=64a^6$