If $\begin{vmatrix}3 & x\\ x & 1\end{vmatrix}=\begin{vmatrix}3 & 2\\ 4 & 1\end{vmatrix}$, then value of $x$ is/are

(A) $x=2$

(B) $x=-2$

(C) $x=2\sqrt2$

(D) $x=-2\sqrt2$

Choose the correct answer from the options given below:

The value of $\begin{vmatrix}2 & 3 & 4\\5 & 6 & 8\\6x & 9x & 12x\end{vmatrix}$ is

If A and B are two symmetric matrices of the same order, then

If $f(x) = \begin{vmatrix} 0 & x+a & x+b \\ x-a & 0 & x+c \\ x-b & x-c & 0 \end{vmatrix}$ then the value of $f(0)$ is equal to:

If the system of linear equations

$x + 2y - 3z = 1$

$(2p+1)y + z = 2$

$3x + 3z = 5$

has a unique solution, then p can not be equal to

If the matrix $A = \begin{bmatrix}a & 3 & b\\ c & 0 & -1\\ -2 & 1 & 0\end{bmatrix}$ is skew-symmetric, then $4a+3b+2c$ is equal to

If $A$ and $B$ are invertible matrices of order 3. If $|A| = 2$ and $|(AB)^{-1}| = \dfrac{-1}{6}$, then the value of $|B|$ is :