Are the following statements true or false?

? True False  1. If $\ T:R^{3} \rightarrow R^7$ is a linear transformation, then range($T$) is a subspace of $R^{3}$.

? True False  2. If $\ T:R^{4} \rightarrow R^{10}$ is a linear transformation, then range ($T$) is a subspace of $R^{10}$.

? True False  3. The intersection of two subspaces of $R^n$ forms another subspace of $R^n$.

? True False  4. If $u$ and $v$ are in a subspace $\ S$, then every point on the line connecting $u$ and $v$ is also in $\ S$