Evaluate 5&0&5 1&4&3 0&8&6 is: - Vidyadip

MCQ

Evaluate $\begin{bmatrix}5&0&5\\1&4&3\\0&8&6\end{bmatrix}$ is:

A
$20$
✓
$0$
C
$-40$
D
$40$

✓

Answer

Correct option: B.

$0$

$\triangle=\begin{bmatrix}5&0&5\\1&4&3\\0&8&6\end{bmatrix}$
Expanding along $\text{R}_1,$ we get:
$\triangle=5\begin{bmatrix}4&3\\8&6\end{bmatrix}-0\begin{bmatrix}1&3\\0&6\end{bmatrix}+5\begin{bmatrix}1&4\\0&8\end{bmatrix}$
$\triangle=5(24-24)-0+5(8-0)$
$\triangle=0-0+40=40.$

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