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
Trees
Public trees
Orphans
Browse orphan nodes
Related nodes
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
β
Help
Welcome to Knowen!
Edit test node (no login required)
Create new test node (no login required)
Not logged in
Sign in
Sign up
Go to node
3
Privacy
Edit node
The union of bases from independent subspaces is a basis for the space.
Created over 8 years ago
A
−
A
+
Put content here.
Parents
Subspaces