Covector
From Maths
AKA: Dual vectors, Linear forms, Linear functionals.
More details can be found: at Dual space
Contents
[hide]Definition
Covectors are the name of elements in the dual space of a vector space[1], that is given a vector space (V,F), and its dual space, V∗ we say:
- f∗∈V∗if f∗:V→F and f∗ is linear, recall linear means that:
- ∀x,y∈V ∀α,β∈F[f∗(αx+βy)=αf∗(x)+βf∗(y)]
- ∀x,y∈V ∀α,β∈F[f∗(αx+βy)=αf∗(x)+βf∗(y)]
See also
References
- Jump up ↑ Liner Algebra via Exterior Products - Sergei Winitzki
