For $$3 \times 3$$ matrix M, let $$\mid M \mid$$ denote the determinant of M. Let
$$E = \begin{bmatrix}1 & 2 & 3 \\2 & 3 & 4 \\ 8 & 13 & 18 \end{bmatrix}, P = E = \begin{bmatrix}1 & 0 & 0 \\0 & 0 & 1 \\ 0 & 1 & 0 \end{bmatrix}$$ and $$F = \begin{bmatrix}1 & 3 & 2 \\8 & 18 & 13 \\ 2 & 4 & 3 \end{bmatrix}$$
If Q is a nonsingular matrix of order $$3 \times 3$$, then which of the following statements is (are) TRUE ?