Final answer:
To find the inverse of a 2x2 matrix, swap the elements in the main diagonal, change the signs of the off-diagonal elements, and divide by the determinant, provided the determinant is non-zero.
Step-by-step explanation:
Here, 1/(ad-bc) is the multiplicative inverse of the determinant of A, and you need to swap positions of a and d, and change the signs of b and c to complete the inversion process. Note that the inverse of a matrix exists only if the determinant (ad-bc) is not equal to zero.