63. Image of Subset
For a linear transformation and a subset , the image of under is:
— the set of all outputs you get by applying to every input in .
Example
Triangle: .
Apply transformation with :
By linearity, line segments map to line segments: is the image of , and is the image of the whole triangle.
63.1. Connections
- Image of a transformation — the case (the whole domain)
- Preimage — the inverse direction (which inputs produce a given output set)