MCQ
If $A=\left[\begin{array}{cc}2 & 3 \\ 5 & -2\end{array}\right]$, then adj $A$ is equal to
  • A
    $\left[\begin{array}{cc}-2 & -5 \\ -3 & 2\end{array}\right]$
  • $\left[\begin{array}{cc}-2 & -3 \\ -5 & 2\end{array}\right]$
  • C
    $\left[\begin{array}{cc}5 & 3 \\ 2 & -2\end{array}\right]$
  • D
    $\left[\begin{array}{cc}3 & 5 \\ 2 & -2\end{array}\right]$

Answer

Correct option: B.
$\left[\begin{array}{cc}-2 & -3 \\ -5 & 2\end{array}\right]$
(b) : Given, $A=\left[\begin{array}{cc}2 & 3 \\ 5 & -2\end{array}\right] \Rightarrow \operatorname{adj} A=\left[\begin{array}{cc}-2 & -5 \\ -3 & 2\end{array}\right]^{\prime}$
$
\therefore \operatorname{adj} A=\left[\begin{array}{cc}
-2 & -3 \\
-5 & 2
\end{array}\right]
$

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