Q. If $\left| \begin{matrix} 1 & 1 & 0 \\ 2 & 0 & 3 \\ 5 & - 6 & x \end{matrix} \right| = 29,\ then\ x$ is
A) 1
B) 2
C) 3
D) 4
Explanation
(b)
Given,$\ \left| \begin{matrix}
1 & 1 & 0 \\
2 & 0 & 3 \\
5 & - 6 & x
\end{matrix} \right| = 29$
$\Rightarrow 1(0 + 18) - 1(2x - 15) = 29$
$\Rightarrow 2x = 4\ \Rightarrow \ x = 2$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.