Let P = [ 1 0 0 3 1 0 9 3 1 ] and Q = [q i j] be two 3 × 3 matrices such that Q – P⁵ = I₃. Then (q₂₁ + q₃₁)/(q₃₂) is equal to:

Matrices and Determinants: JEE Main 2019 Mathematics question

JEE Main 2019 · 12 Jan, Morning shift · Q4498

JEE Main 201912 Jan, Morning shiftMathematicsHardMatrices and Determinants245× since 2002

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 :