- #1
Kaguro
- 221
- 57
- TL;DR Summary
- I want to know how are linear functionals same as covectors.
I understand that a vector space is a set of objects closed under addition and scalar multiplication and satisfies several properties.
A functional is a map that takes a vector and produces a scalar. A functional is also called a dual vector.
A covector is an object which transforms via the same matrix that the basis vectors use to transform under a change of coordinates(while the contravectors use its inverse).
How are these two related?
A functional is a map that takes a vector and produces a scalar. A functional is also called a dual vector.
A covector is an object which transforms via the same matrix that the basis vectors use to transform under a change of coordinates(while the contravectors use its inverse).
How are these two related?