Why do linear transformations, denoted as $T: \Bbb{R}^m \rightarrow \Bbb{R}^n$ is a function that has the following properties.$T(\text {u} + \text v) = T(\text u) + T(\text v)$ $T(\text{kv}) = \text kT(\text v)$? A) To ensure that the transformation is well-defined and uniquely preserves vector addition and scalar multiplication.
B) These properties are specific to linear transformations and are not required for other types of functions.
C) It simplifies the algebraic representation of linear transformations.
D) Linear transformations aim to model linear relationships, and these properties maintain linearity under vector operations.
