
Matrices Explained
Linear Transformations and Matrices
Linear Transformations
A transformation \(T\) is linear if it satisfies the following two properties:
1. Additivity: For all vectors \(x, y\) in the domain of \(T\), we have \(T(x + y) = T(x) + T(y)\).
2. Homogeneity: For all vectors \(x\) in the domain of \(T\