MCQ
यदि $A =\left[\begin{array}{ll}0 & 1 \\ 1 & 2\end{array}\right]$ हो, तो $adj \ A$ होगा $-$
  • $\left[\begin{array}{cc}2 & -1 \\ -1 & 0\end{array}\right]$
  • B
    $\left[\begin{array}{cc}2 & -1 \\ -2 & 0\end{array}\right]$
  • C
    $\left[\begin{array}{cc}2 & -1 \\ -1 & 2\end{array}\right]$
  • D
    $\left[\begin{array}{cc}-2 & -1 \\ -1 & 0\end{array}\right]$

Answer

Correct option: A.
$\left[\begin{array}{cc}2 & -1 \\ -1 & 0\end{array}\right]$
$\left[\begin{array}{cc}2 & -1 \\ -1 & 0\end{array}\right]$
$ A _{11}=2 A_{12}=-1 A_{21}=-1 A_{22}=0$
$\operatorname{adj} A=\left[\begin{array}{ll} A _{11} & A_{12} \\ A_{21} & A_{22}\end{array}\right]^{\prime}=\left[\begin{array}{cc}2 & -1 \\ -1 & 0\end{array}\right]^{\prime}$
$=\left[\begin{array}{cc}2 & -1 \\ -1 & 0\end{array}\right]$
अतः सही विकल्प $(A)$ है।

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