Knowen.md

Dashboard

Featured nodes

Roots

  • Public root

Templates

  • Guanyu's Latex template
  • Router template

Trees

  • Public trees
Related nodes

Parents1

  • Subspaces associated to a linear transformation

Siblings8
  • Sort by title
  • Sort by date

  • The range/image of a linear transformation is a subspace.
  • The inverse image of a subspace under a linear transformation is a subspace.
  • Definition of kernel/null space of linear transformation
  • The kernel/null space of a linear transformation is a subspace
  • Definition of generalized kernel/null space of linear transformation
  • Any vector space is the direct sum of the generalized kernel and gneralized range of a linear transformation on that space.
  • The kernels of powers of a linear transformation form an ascending chain
  • The range spaces of powers of a linear transformation form a descending chain
Knowen.mdBeta
#
  • Explore
  • Sign in
  1. Any vector space is the direct sum of the generalized kernel and gneralized range of a linear transformation on that space.

Privacy

Who can read and edit this node, and how its tree is shared.

Privacy

Publicly readable

This private node is readable and open for comments. Ask a tree collaborator for edit access.

Tree:Container for Linear Algebra · Private

Knowen© 2026 KTree Inc.

ExplorePricingIntegrationsContact usLeave feedback