knowen.mdknowen.md

Dashboard

Featured nodes

Roots

  • Public root

Templates

  • Guanyu's Latex template
  • Router template

Trees

  • Showcase
Related nodes

Parents1

  • Subspaces

Siblings16
  • Sort by title
  • Sort by date

  • Definition of intersection of subspaces
  • Definition of direct sum of subspaces
  • Definition of the 0/trivial subspace
  • Definition of subspace
  • Definition of subspace spanned by a set of a set of vectors
  • 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
  • The intersection of subspaces is a subspace
  • Definition of sum of subspaces
  • The sum of subspaces is a subspace
  • 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.mdknowen.mdBeta
#
  • Explore
  • Sign in
  • Request an invite
  1. Definition of sum of subspaces

Related

Your own links and the nodes closest in meaning.

Related

Sign in to manage links and suggestions.

Similar in meaning

Suggested from content
  • The sum of subspaces is a subspaceClose match
  • Definition of direct sum of subspacesClose match
  • Theorem characterizing when a space is the direct sum of two subspacesClose match
  • Definition of subspaceClose match
  • SubspacesClose match
  • The dimension of a direct sum of subspaces is the sum of the dimensions of the subspaces.Close match
  • The intersection of subspaces is a subspaceClose match
  • A nonempty subset of a vector space is a subspace if and only if it is closed under linear combinationsClose match
  • Definition of intersection of subspacesClose match
  • Definition of complement of a subspaceClose match
  • Definition of subspace spanned by a set of a set of vectorsClose match
  • A vector can be written uniquely as a linear combination of vectors from independent subspaces.Close match
  • The union of bases from independent subspaces is a basis for the space.Close match
  • Definition of independent subspacesClose match
  • Nested finite-dimensional subspaces of equal dimension are equalClose match
  • Subspaces associated to a linear transformationClose match
  • Definition of the 0/trivial subspaceClose match
  • The dimension of a subspace is less than or equal to the dimension of the whole spaceRelated
  • Definition of 0/trivial subspaceRelated
  • Definition of span of a set of vectorsRelated

knowen.md© 2026 KTree Inc.

ExploreWhat is knowen.md?PricingIntegrationsContact usLeave feedback