Dashboard
Featured pages
Roots
Public root
Templates
Test template
iCorps template
Guanyu's Latex template
Ivar's latex template
Family Tree template
Latex template
Router template
Related pages
Parents
1
Bases
Siblings
12
Sort by title
Sort by date
Definition of basis of a vector space (or subspace)
Definition of the standard/natural basis of R^n (or C^n)
The standard/natural basis of R^n (or C^n) is a basis.
Definition of change-of-coordinates matrix relative to a given basis of R^n (or C^n)
Definition of the standard basis of the polynomials of degree at most n
Definition of the standard basis of the m by n matrices
Definition of coordinates relative to a given basis
A set of nonzero vectors contains (as a subset) a basis for its span.
The reduced row-echelon form of a matrix determines which subset of a spanning set is a basis.
Each vector can be written uniquely as a linear combination of vectors from a given basis.
A set is a basis if each vector can be written uniquely as a linear combination.
Coordinates
Knowen
Graph of pages
New project
New public tree
Not logged in
Sign in
Sign up
Help
Welcome to Knowen!
Edit test page (no login required)
Create new test page (no login required)
Now you are in the subtree of
Math
public knowledge tree.
Bases
Parent pages
3
Edit page
Definition of basis of a vector space (or subspace)
Put content here.
×
Quick navigation
Pages loading ...