Linear Transformations

Last updated Feb 26, 2022 Edit Source

• Math linear

A transformation with domain $n$ and codomain $m$, which is made using an $n \times m$ matrix, is represented by $\mathbb{R}^n \to \mathbb{R}^m$.

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• $T(u + v) = T(u) + T(v)$
• $T(cv) = cT(v)$
• $T(0) = 0$

If a Matrix Transformation does not have these properties, it is not a linear transformation.