The correct option is D 17
It is always possible to find the inverse of a matrix by cofactor method. But for 2×2 matrix there is a short cut method.
So for a 2×2 matrix of the form[abcd], to find the inverse.
1) Swap the positions of a and d.
2) take negatives of b and c
3) divide everything by determinant of the matrix.
∴ Inverse of the given matrix.