True or False
1. Every matrix transformation is a linear transformation. That is, ifT : \mathbb{R}^{n}\rightarrow \mathbb{R}^{m}is defined by the formula T(x)=Ax for some matrix A, then T is a linear transformation.
2. Every linear transformation from\mathbb{R}^{n} to \mathbb{R}^{m}is a matrix transformation. That is, ifT : \mathbb{R}^{n} \rightarrow \mathbb{R}^{m}is a linear transformation, then there exists matrix A such that T(x) = Ax.
