JEE Main & Advanced
Mathematics
Determinants & Matrices
Question Bank
Numerical Value Type Questions - Matrices
question_answer
Let \[P=\left[ \begin{matrix} 1 & 0 & 0 \\ 3 & 1 & 0 \\ 9 & 3 & 1 \\ \end{matrix} \right]\] and \[Q=[{{q}_{ij}}]\]be two \[3\times 3\] matrices such that \[Q-{{P}^{5}}={{I}_{3}}.\] Then \[\frac{{{q}_{21}}+{{q}_{31}}}{{{q}_{32}}}\] is equal to