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Question: Answered & Verified by Expert
Adjoint of the matrix
$N=\left[\begin{array}{ccc}-4 & -3 & -3 \\ 1 & 0 & 1 \\ 4 & 4 & 3\end{array}\right]$ is
MathematicsMatricesJEE Main
Options:
  • A $N$
  • B $2 \mathrm{~N}$
  • C $-N$
  • D None of these
Solution:
1778 Upvotes Verified Answer
The correct answer is: $N$
The cofactors of $N=\left[\begin{array}{ccc}-4 & -3 & -3 \\ 1 & 0 & 1 \\ 4 & 4 & 3\end{array}\right]$ are
$c_{11}=-4, c_{12}=1, c_{13}=4 ; \quad c_{21}=-3, c_{22}=0, c_{23}=4$
$c_{31}=-3, c_{32}=1, c_{33}=3$
$\therefore \operatorname{adj} N=\left[\begin{array}{ccc}-4 & -3 & -3 \\ 1 & 0 & 1 \\ 4 & 4 & 3\end{array}\right]=N$

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