Dashboard
Featured nodes
Roots
Public root
Templates
Test template
iCorps template
Guanyu's Latex template
Ivar's latex template
Family Tree template
Latex template
Router template
Orphans
Browse orphan nodes
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.
Knowen
Graph of nodes
New tree
New public tree
Not logged in
Sign in
Sign up
Help
Welcome to Knowen!
Edit test node (no login required)
Create new test node (no login required)
Now you are in the subtree of
Math
public knowledge tree.
Coordinates
Parent nodes
Go to node
3
Edit node
Conjugating by a change of coordinates matrix converts matrix representations with respect to different bases.
Created over 8 years ago
Put content here.
×
Quick navigation
Nodes loading ...