Find $\text{adj } A$ for $A = \begin{bmatrix} 2 & 3 \\ 1 & 4 \end{bmatrix}$ |
$\begin{bmatrix} 4 & 1 \\ 3 & 2 \end{bmatrix}$ $\begin{bmatrix} 4 & -3 \\ -1 & 2 \end{bmatrix}$ $\begin{bmatrix} -4 & 3 \\ 1 & -2 \end{bmatrix}$ $\begin{bmatrix} 2 & 1 \\ 3 & 4 \end{bmatrix}$ |
$\begin{bmatrix} 4 & -3 \\ -1 & 2 \end{bmatrix}$ |
The correct answer is Option (2) → $\begin{bmatrix} 4 & -3 \\ -1 & 2 \end{bmatrix}$ ## We have $A_{11} = 4, A_{12} = -1, A_{21} = -3, A_{22} = 2$ Hence $\text{adj } A = \begin{bmatrix} A_{11} & A_{21} \\ A_{12} & A_{22} \end{bmatrix} = \begin{bmatrix} 4 & -3 \\ -1 & 2 \end{bmatrix}$ |