If A= 2&5&9 6&1&3 4&8&2 , find |A| - Vidyadip

MCQ

If $\text{A}=\begin{bmatrix}2&5&9\\6&1&3\\4&8&2\end{bmatrix},$ find $|\text{A}|$

✓
352
B
356
C
325
D
532

✓

Answer

Correct option: A.

352

$\Rightarrow|\text{A}|=\begin{bmatrix}2&5&9\\6&1&3\\4&8&2\end{bmatrix}$Evaluating along the first row, we get

$\triangle=2\begin{bmatrix}1&3\\8&2\end{bmatrix}-5\begin{bmatrix}6&3\\4&2\end{bmatrix}+9\begin{bmatrix}6&1\\4&8\end{bmatrix}$

$\triangle=2(2-24)-5(12-12)+9(48-4)$

$\triangle=2(-22)-0+9(44) $

$\triangle=-44+9(44)=44(-1+9)=352 $

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