Practicing Success
Practicing Success
CUET Preparation Today
If $A=\begin{bmatrix}a&0&0\\0&a&0\\0&0&a\end{bmatrix}$, then the value of $|adj\, A|$, is |
$a^{27}$ $a^{9}$ $a^{6}$ $a^{2}$ |
$a^{6}$ |
Since A is a diagonal matrix. Therefore, $|A|=a×a×a=a^3$ Also, $|adj\, A|=|A|^{3-1}$ $[∵ |adj\, A|=|A|^{n-1}]$ $⇒|adj\, A|=|A|^2=a^6$ |
