#### KindofSlow

##### Junior Member

- Joined
- Mar 5, 2010

- Messages
- 83

On this page - http://www.math.umbc.edu/~campbell/Math221/Glossary/

This definition:

Codomain The codomain of a linear transformation is the vector space which contains the vectors resulting from the transformation's action. Thus, if T(v) = w, then v is a vector in the domain and w is a vector in the range, which in turn is contained in the codomain.

*Examples:*

- The codomain of the transformation T:R3→R5 is R5
- The matrix A=[1,2;2,1;1,1] (three rows and two columns) induces a linear map from R2 to R3, with domain R3

- The matrix A=[1,2;2,1;1,1] (three rows and two columns) induces a linear map from R2 to R3, with domain R3

Since we go from Domain to Range, v to w, and R2 to R3, I think Domain should be R2, and not R3.

I think the range of A is a subspace of R3.

I think the codomain of A is all of R3.

Any assistance with anything I am misunderstanding or anything I have wrong will be greatly appreciated.

Thank you