commit 3fd546bc5ad5ac12b7b6a2d87f3592666d7dc010 parent 1a7f4b48ba1c4b0c8f11aba35b0557a2a97e6334 Author: Andrew <andrewlaack1@gmail.com> Date: Fri, 19 Jul 2024 15:07:57 -0500 took some notes Diffstat:
| M | LinearAlgebra.md | | | 2 | ++ |
| A | LinearTransformation.md | | | 18 | ++++++++++++++++++ |
| A | Transformations.md | | | 10 | ++++++++++ |
3 files changed, 30 insertions(+), 0 deletions(-)
diff --git a/LinearAlgebra.md b/LinearAlgebra.md @@ -43,3 +43,5 @@ Khan Unit 1 (mostly): Khan Unit 2: - [[Codomain.md]] - [[Range.md]] + - [[Transformations.md]] + - [[LinearTransformation.md]] diff --git a/LinearTransformation.md b/LinearTransformation.md @@ -0,0 +1,18 @@ +:lin-alg: +# Linear Transformation + +Khan + +## Notes + +**Definition:** A linear transformation is a function with an input and output vector that respects addition and scalar multiplication. + +## Formally + +The two rules where a and b are vectors and c is a scalar: + +T(a + b) = T(a) + T(b) + +T(ca) = cT(a) + +This is necessary and sufficient for the function T to be a L.T. diff --git a/Transformations.md b/Transformations.md @@ -0,0 +1,10 @@ +:lin-alg: +# Transformations + +Khan + +## Notes + +**Definition:** Transoformations are functions that take an input vector and output another vector. + +See [[LinearTransformation.md]] for a specific type.