12th Class
Mathematics
Sample Paper
Maths Olympiad Model Test Paper-11
question_answer
Let \[P=\left[ \begin{matrix} 1 & 0 & 0 \\ 4 & 1 & 0 \\ 16 & 4 & 1 \\ \end{matrix} \right]\] and \[l\] be the identity matrix of order 3. If \[Q=[{{q}_{ij}}]\] is a matrix, such that \[{{P}^{50}}-Q=I,\] then \[\frac{{{q}_{31}}-{{q}_{32}}}{{{q}_{21}}}\] equals to _______.