Order the steps to find the inverse of a 2×2 matrix

Exercise and reference answers

Steps

1. Compute the determinant det(A) = ad − bc
2. Check det(A) ≠ 0 (otherwise no inverse exists)
3. Swap the diagonal entries: a ↔ d
4. Negate the off-diagonal entries: b → −b, c → −c
5. Divide the resulting matrix by det(A)