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Matrices and Determinants question

2024 · 29 Jan · Shift 2 · Q50
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Matrices and Determinants question

2024 · 29 Jan · Shift 2 · Q50

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let A=[2126211332]A=\left[\begin{array}{ccc}2 & 1 & 2 \\ 6 & 2 & 11 \\ 3 & 3 & 2\end{array}\right]A=​263​123​2112​​ and P=[120502715]P=\left[\begin{array}{lll}1 & 2 & 0 \\ 5 & 0 & 2 \\ 7 & 1 & 5\end{array}\right]P=​157​201​025​​. The sum of the prime factors of ∣P−1AP−2I∣\left|P^{-1} A P-2 I\right|​P−1AP−2I​ is equal to
  1. A
    66
  2. B
    27
  3. C
    23
  4. D
    26
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