# Category:Linear Transformations

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This category contains results about Linear Transformations.

Definitions specific to this category can be found in Definitions/Linear Transformations.

A **linear transformation** is a homomorphism from one module to another.

## Subcategories

This category has the following 4 subcategories, out of 4 total.

## Pages in category "Linear Transformations"

The following 41 pages are in this category, out of 41 total.

### C

### E

### L

- Left Shift Operator is Linear Mapping
- Linear Mappings between Vector Spaces form Vector Space
- Linear Transformation as Matrix Product
- Linear Transformation from Center of Scalar Ring
- Linear Transformation from Finite-Dimensional Vector Space is Injective iff Surjective
- Linear Transformation from Ordered Basis less Kernel
- Linear Transformation is Injective iff Kernel Contains Only Zero
- Linear Transformation is Injective iff Kernel Contains Only Zero/Corollary
- Linear Transformation Maps Zero Vector to Zero Vector
- Linear Transformation of Arithmetic Mean
- Linear Transformation of Generated Module
- Linear Transformation of Submodule
- Linear Transformations form Abelian Group
- Linear Transformations of Commutative Scalar Ring