Introduction
As it was shown in previous sections discussed in class, the set Mmn of all m×n matrices is a vector space under the operations of matrix scalar multiplication and addition. In this paper, we will describe the set of all linear transformations of an n-dimensional vector space V into an m-dimensional vector space W, which is also a vector space U. This is the vector space under two defined operations. The relationship between Mmn and U will be also described.
Body
Consider V and W – two vector spaces of the dimensions n and m, respectively. Let the following linear ...
