MCQ
જો$A =\begin{vmatrix} \mathbf{a} & \mathbf{0} & \mathbf{0} \\0 & a & 0 \\ 0 & 0 & a \end{vmatrix}$ તો $|A| |adj.A|=.................$
- A$a^3$
- B$a^6$
- ✓$a^9$
- D$a^{27}$
$|A| |adj.A| = |A (adj.A)| = |A||I|$
તો અહીં
$=\begin{vmatrix} \mathbf{|A|} & \mathbf{0} & \mathbf{0} \\0 & |A| & 0 \\ 0 & 0 & |A| \end{vmatrix}$
$|A|^3 \Rightarrow (a^3)^3 \Rightarrow a^9$
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