- #1
finkeljo
- 10
- 0
I don't quite understand the idea that (as my book says) every linear transformation with domain Rn and codomain Rm is a matrix transofrmation... I mean i get the idea of what a linear transformation is (sorta like a function) but it gives the theorem:
Let T: Rn -> Rm be linear. Then there is a unique m x n matrix
A=[T(e1)T(e2)...T(en)]
Can some one just explain that a little bit? It may seem simple but I don't think my book does a good job providing enough background for the theorems they state.
Let T: Rn -> Rm be linear. Then there is a unique m x n matrix
A=[T(e1)T(e2)...T(en)]
Can some one just explain that a little bit? It may seem simple but I don't think my book does a good job providing enough background for the theorems they state.