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
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
Go to node
Help
Welcome to Knowen!
Edit test node (no login required)
Create new test node (no login required)
Not logged in
Sign in
Sign up
3
Privacy
Edit node
A nonempty subset of a vector space is a subspace if and only if it is closed under linear combinations
Created almost 9 years ago
A
−
A
+
Put content here.
Parents
Subspaces