If $A = \begin{bmatrix} 2x & 0 \\ x & x \end{bmatrix}$ and $A^{-1} = \begin{bmatrix} 1 & 0 \\ -1 & 2 \end{bmatrix}$, then the value of $x$ is

If A is a square matrix of order 3, B = kA and |B| = $x$|A| then,

If a matrix P is both symmetric and skew-symmetric, then

The values of $\lambda$ for which the system of equation $x + 2y + z = 14, - x + y + z = 10, x + \lambda y + z = 2$ has unique solution is

If $A = \begin{bmatrix}1 & 2 & 3\\4 & 5 & 6\end{bmatrix}$ and $B = \begin{bmatrix}1 & 2\\3 & 4\\5 & 6\end{bmatrix}$, then $A + B$ is equal to

If $\begin{bmatrix} x-2 & 3 & y \\ -3 & 0 & 2 \\ 4 & z-1 & 0 \end{bmatrix}$ is a skew-symmetric matrix, then the value of $x+y+z$ is:

The determinant of which of the following matrices is a perfect square ?

A. $\begin{bmatrix}5&29\\-1&6\end{bmatrix}$

B. $\begin{bmatrix}5&26\\1&6\end{bmatrix}$

C. $\begin{bmatrix}10&3\\17&10\end{bmatrix}$

D. $\begin{bmatrix}8&5\\-3&-8\end{bmatrix}$

Choose the correct answer from the options given below: