notes / Studies in Algebra and Group Theory / chapter 3: Linear Maps and Operators / From my notebooks
N22 Review Part 1: Linear Algebra
Topics
- fields:
- vector spaces: and scalar multiplication
- subspaces
- span
- basis
- dim
- char
The matrix of a linear map
Example N22.1. Let ,
Find its matrix and evaluate it on and .
Show solution
Apply to :
These are the columns (third, second, first) of the matrix:
Now let , :
Question N22.2. So if we have some tuple-like structure, say , of length , etc., what does this imply?