Let A = 2 1 2 6 2 11 3 3 2 and P = 1 2 0 5 0 2 7 1 5. The sum of… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 29 January, Shift 2Properties of Determinants

Let $A = \begin{bmatrix} 2 & 1 & 2 \\ 6 & 2 & 11 \\ 3 & 3 & 2 \end{bmatrix}$ and $P = \begin{bmatrix} 1 & 2 & 0 \\ 5 & 0 & 2 \\ 7 & 1 & 5 \end{bmatrix}$ . The sum of the prime factors of $\left|P^{-1}AP - 2I\right|$ is equal to:

A
$26$
B
$27$
C
$66$
D
$23$

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