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Matrices and Determinants question

2016 · Shift 2 · Q32
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  5. /2016 · Shift 2 · Q32

Matrices and Determinants question

2016 · Shift 2 · Q32

JEE AdvancedMathematicsMatrices and DeterminantsMCQ+3 / −1
Let P=[1004101641]P = \left[ {\begin{matrix} 1 & 0 & 0 \\ 4 & 1 & 0 \\ {16} & 4 & 1 \\ \end{matrix} } \right]P=​1416​014​001​​ and I be the identity matrix of order 3. If Q=[qij]Q = [{q_{ij}}]Q=[qij​] is a matrix such that P50−Q=I{P^{50}} - Q = IP50−Q=I and q31+q32q21{{{q_{31}} + {q_{32}}} \over {{q_{21}}}}q21​q31​+q32​​ equals
  1. A
    52
  2. B
    103
  3. C
    201
  4. D
    205
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