If $P = \begin{bmatrix} -2 & 2 & 0 \\ 3 & 1 & 4 \end{bmatrix}$ and $Q = \begin{bmatrix} 2 & 0 & -2 \\ 7 & 1 & 6 \end{bmatrix}$, If $5Q - 3P + 2R = 0$, then the matrix R is

The number of all possible matrices of order 3 $\times$ 3 with each entry 2 or 3 is.

If A and B are events such that $P(A/B) = P(B/A)$, then :

If $\begin{vmatrix} -a^2 & ab & ac \\ ba & -b^2 & bc \\ ac & bc & -c^2 \end{vmatrix} = 4x$, then $x =$

If a square matrix B satisfies $B^2 = I - B$ and $B^n = 5I - 8B$, then the value of n is :

The solution set of the given inequation $\frac{2x+3}{x-1}<4 (x\neq1)$ is:

A and B are square matrices of order 3 each such that $|A|=3, |B|=2$, then the value of $|4AB|$ will be?