Let P = $$\left[ {\matrix{ 1 & 0 & 0 \cr 3 & 1 & 0 \cr 9 & 3 & 1 \cr } } \right]$ and Q = [qij] be two 3 $ \times $$ 3 matrices such that Q – P5 = I3. Then ${{{q_{21}} + {q_{31}}} \over {{q_{32}}}}$ is equal to :

Question

Let P = $$\left[ {\matrix{ 1 & 0 & 0 \cr 3 & 1 & 0 \cr 9 & 3 & 1 \cr } } \right]$ and Q = [q_ij] be two 3 $ \times $$ 3 matrices such that Q – P⁵ = I₃.

Then ${{{q_{21}} + {q_{31}}} \over {{q_{32}}}}$ is equal to :

135

Solution

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