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
Subspaces
Siblings
16
Sort by title
Sort by date
Definition of subspace
Definition of subspace spanned by a set of a set of vectors
Definition of the 0/trivial subspace
Definition of 0/trivial subspace
A nonempty subset of a vector space is a subspace if and only if it is closed under linear combinations
Definition of intersection of subspaces
The intersection of subspaces is a subspace
Definition of sum of subspaces
The sum of subspaces is a subspace
Definition of direct sum of subspaces
The dimension of a direct sum of subspaces is the sum of the dimensions of the subspaces.
Definition of independent subspaces
A vector can be written uniquely as a linear combination of vectors from independent subspaces.
The union of bases from independent subspaces is a basis for the space.
Definition of complement of a subspace
Theorem characterizing when a space is the direct sum of two subspaces
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.
Subspaces
Parent pages
3
Edit page
Definition of direct sum of subspaces
Put content here.
×
Quick navigation
Pages loading ...