Question

The value of $\left| \begin{matrix} 41 & 42 & 43 \\ 44 & 45 & 46 \\ 47 & 48 & 49 \end{matrix} \right| =$

• A. 2
• B. 4
• C. 0
• D. 1

Answer 1

Answer: (C)

0

Answer 2

Given, $\Delta = \left| \begin{matrix} 41 & 42 & 43 \\ 44 & 45 & 46 \\ 47 & 48 & 49 \end{matrix} \right|.$

Applying $C_{2} \rightarrow C_{2} - C_{1},C_{3} \rightarrow C_{3} - C_{2}$ we get

$\Delta = \left| \begin{matrix} 41 & 1 & 1 \\ 44 & 1 & 1 \\ 47 & 1 & 1 \end{matrix} \right|$. Since two columns ($C_{2}$ and $C_{3}$) are identical, therefore $\Delta = 0$.