Are the following statements true or false?

? True False  1. If $A$ is a matrix, then the dimension of the row space of $A$ is equal to the dimension of the column space of $A$.

? True False  2. If $A$ and $B$ are equivalent matrices, then row($A$) = row( $B$).

? True False  3. If $A$ is a $7 \times 5$ matrix, and $T(x) = Ax$ is a linear transformation, then $T$ can be one-to-one.

? True False  4. If $A$ and $B$ are equivalent matrices, then col($A$) = col( $B$).