The equation $\mathrm{A}\to \mathrm{P}$ is rewritten as $2\mathrm{A}\to 2\mathrm{P}$ for the same reaction. Using the IUPAC definition of rate of reaction ($\frac{1}{{\nu }_i}\frac{d[i]}{dt}$), which is correct?

1. ABoth $-d[\mathrm{A}]/dt$ and the rate of reaction are unchanged
2. B$-d[\mathrm{A}]/dt$ is unchanged but the rate of reaction is halved
3. C$-d[\mathrm{A}]/dt$ is doubled and the rate of reaction is unchanged
4. DBoth $-d[\mathrm{A}]/dt$ and the rate of reaction are halved