The adjoint of the matrix $A=\left[\begin{array}{cc}2 & -3 \\ 3 & 5\end{array}\right]$ is

The adjoint of the matrix $A=\left[\begin{array}{cc}2 & -3 \\ 3 & 5\end{array}\right]$ is
  1. $\left[\begin{array}{cc}5 & 3 \\ -3 & 2\end{array}\right]$
  2. $\left[\begin{array}{cc}5 & -3 \\ 3 & 2\end{array}\right]$
  3. $\frac{1}{19}\left[\begin{array}{cc}5 & 3 \\ -3 & 2\end{array}\right]$
  4. $\frac{1}{19}\left[\begin{array}{cc}5 & -3 \\ 3 & 2\end{array}\right]$

Solution

Given $A=\left[\begin{array}{cc}2 & -3 \\ 3 & 5\end{array}\right] \Rightarrow \operatorname{Adj} A=\left[\begin{array}{cc}5 & 3 \\ -3 & 2\end{array}\right]$

Asked in: MHT CET 2020 (13 Oct Shift 2)

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