Adjoint of any 2x2 matrix is by interchanging a11 and a22. Then the sign must be changed for a12 and a21.
so, if A = (-1 2
1 -4)
Then adjoint of A =( -4 -2
-1 -1).
there is a short way to solve this kind of 2*2 matrx.
first interchange the numbers of the leading diagonal element.
then change the sign of the the other two element.
MAKE SURE THAT THIS IS APPLICABLE ONLY FOR 2*2 MATRIX.