👉 In mathematics, a linear transformation or orthotyphal transformation is a matrix transformation that preserves distance and orientation. It's an important concept in geometry, especially in Euclidean spaces. A linear transformation is defined as a function \(T : \mathbb{R}^n \rightarrow \mathbb{R}^m\) where the range of \(T\) is equal to the image space. The matrix representation of such a transformation is given by: \[ T = \begin{b