JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
Let \( P=[p_{ij}] \) and \( Q=[q_{ij}] \) be two square matrices of order 3 such that \( q_{ij}=2^{(i+j-1)}p_{ij}\) and \( det(Q)=2^{10}. \) Then the value of \( det(adj(adj~P)) \) is:
- A 32
- B 16
- C 81
- D 124
Answer & Solution
Correct Answer
(B) 16
Step-by-step Solution
Detailed explanation
\(\left|\begin{array}{ccc}2 p _{11} & 2^2 p _{12} & 2^3 p _{13} \\ 2^2 p _{21} & 2^3 p _{22} & 2^4 p _{23} \\ 2^3 p _{31} & 2^4 p _{32} & 2^5 p _{33}\end{array}\right|=2^{10}\)…
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