Let P= bmatrix 1 & 0 & 0 4 & 1 & 0 16 & 4 & 1 bmatrix and I be the identity matrix of order 3. If Q=[q_ ij ] is a matrix such that P^ 50 -Q=I, then q_ 31 +q_ 32 q_ 21 equals

JEE Advanced 2016 Mathematics question

Let and be the identity matrix of order 3. If is a matrix such that , then equals

Answer: (B)

Write with ; , . Since and commute,

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Question ID VK-026574