JEE MATHEMATICS MCQ: MATRICES

The matrices $P = \left[ {\begin{array}{cccccccccccccccccccc} {{u_1}}&{{v_1}}&{{w_1}}\\ {{u_2}}&{{v_2}}&{{w_2}}\\ {{u_3}}&{{v_3}}&{{w_3}} \end{array}} \right];Q = \frac{1}{9}\left[ {\begin{array}{cccccccccccccccccccc} 2&2&1\\ {13}&{ - 5}&m\\ { - 8}&1&5 \end{array}} \right]$ are such that $PQ = I$, an identity matrix. Solving the equation $\left[ {\begin{array}{cccccccccccccccccccc} {{u_1}}&{{v_1}}&{{w_1}}\\ {{u_2}}&{{v_2}}&{{w_2}}\\ {{u_3}}&{{v_3}}&{{w_3}} \end{array}} \right]\left[ {\begin{array}{cccccccccccccccccccc} x\\ y\\ z \end{array}} \right] = \left[ {\begin{array}{cccccccccccccccccccc} 1\\ 1\\ 5 \end{array}} \right]$, the value of $y$ comes out to be $- 3$. Then, the value of $m$ is equal to