1. Suppose T: \(\mathbb{R}^n \to \mathbb{R}^m\) and S: \(\mathbb{R}^m \to \mathbb{R}^k\) are linear transformation, show the function composition \(S \circ T(x) = S(T(x))\), a transformation from \(\mathbb{R}^n\) to \(\mathbb{R}^k\), satisfies the two properties given in the definition of linear transformation.
Note: You just need to show the composition satisfies those two properties, you may assume it is already a transformation.
