Dashboard
Featured nodes
Roots
Public root
Templates
Guanyu's Latex template
Router template
Trees
Public trees
Related nodes
Parents
1
Coordinates
Siblings
11
Sort by title
Sort by date
Definition of coordinates relative to a given basis
If B is a basis containing b and the b coordinate of c is nonzero
Definition of coordinate vector/mapping/representation relative to a given basis
The coordinate vector relative to a given basis is a linear mapping to R^n (or C^n).
The coordinate vector relative to a given basis is an injective linear mapping to R^n (or C^n).
The coordinate vector relative to a given basis is a surjective linear mapping to R^n (or C^n).
Definition of change of coordinates matrix between two bases
The change of coordinates matrix between two bases exists and is unique
Multiplication by a change of coordinates matrix converts representations for different bases.
Change of coordinates matrices are invertible
Conjugating by a change of coordinates matrix converts matrix representations with respect to different bases.
Beta
Search Knowen
/
#
Explore
Sign in
Graph
Visible
Navigate
History
Collaborators
1
Download as Markdown
Public root
…
Math
Container for Linear Algebra
Linear algebra
Vector spaces
Coordinate vector spaces
Bases
Coordinates
If B is a basis containing b and the b coordinate of c is nonzero
Created almost 9 years ago
ID
23990
A
−
A
+
Put content here.
Parents
Coordinates
Put content here.
Copy