Let $A$ be a $4 \times 3$ real matrix with rank $2$. Which one of the following statement is TRUE?

- Rank of $A^{T} A$ is less than $2$.
- Rank of $A^{T} A$ is equal to $2$.
- Rank of $A^{T} A$ is greater than $2$.
- Rank of $A^{T} A$ can be any number between $1$ and $3$.