# Find adjoint of each of the matrices.

Question:

Find adjoint of each of the matrices.

$\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]$

Solution:

Let $A=\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]$

We have,

$A_{11}=4, A_{12}=-3, A_{21}=-2, A_{22}=1$

$\therefore \operatorname{adj} A=\left[\begin{array}{ll}A_{11} & A_{21} \\ A_{12} & A_{22}\end{array}\right]=\left[\begin{array}{lr}4 & -2 \\ -3 & 1\end{array}\right]$