Knowen.md

Dashboard

Featured nodes

Roots

  • Public root

Templates

  • Guanyu's Latex template
  • Router template

Trees

  • Public trees
Related nodes

Parents1

  • Coordinate vector spaces

Siblings11
  • Sort by title
  • Sort by date

  • Algebraic properties of R^n (or C^n)
  • Geometric properties of R^n (or C^n)
  • Axioms of a vector space
  • Linear combinations
  • Spans
  • Subspaces
  • Linear (in)dependence
  • Bases
  • Dimension
  • Linear transformations
  • Orthogonality and projection

Children7
  • Sort by title
  • Sort by date

  • Definition of dimension of a vector space (or subspace)
  • If a vector space has dimension n
  • Every basis for a vector space contains the same number of elements
  • Definition of dimension of a vector space (or subspace) being finite or infinite
  • The dimension of a subspace is less than or equal to the dimension of the whole space
  • If two finite dimensional subspaces have the same dimension and one is contained in the other
  • A set of vectors containing more elements than the dimension of the space must be linearly dependent
Knowen.mdBeta
#
  • Explore
  • Sign in
  1. Dimension

Navigate

Jump to a node in this tree, or explore your trees and public knowledge.

Quick Navigation

Jump to a node or explore another tree.

  • Current tree nodes
  • Public trees
501–525 of 715 nodes
  • Matrix transpose commutes with matrix inverse.#23526
  • Matrix transpose is an involution.#23504
  • Matrix-vector multiplication is a linear transformation.#23856
  • Matrix-vector product is associative#23486
  • Matrix-vector products#23482
  • Multiplication#23487
  • Multiplication by a change of coordinates matrix converts representations for different bases.#23997
  • Multiplication by a Hermitian matrix commutes with the standard inner product on C^n.#23598
  • Multiplication of block/partitioned matrices#23569
  • Multiplicity#23695
  • Multiplying a row by a scalar multiplies the determinant by that scalar.#23739
  • Nilpotent matrices#23580
  • Non-example of a linear transformation#23850
  • Nonsingular matrices and equivalences#23640
  • Normal matrices#23599
  • Norm and length#23907
  • Notation for entry of matrix#23450
  • Notation for the set of m by n matrices#23453
  • Operations on matrices#23460
  • Orthogonality#23914
  • Orthogonality and projection#23893
  • Parametric form of the solution set of a system of linear equations#23419
  • Parametric vector form of the solution set of a system of linear equations#23420
  • Particular types of matrices#23535
  • Projection#23937
« First ← Previous ... 17 18 19 20 21 22 23 24 25 ... Next → Last »
1–2 of 2 public trees
  • Aspen Summer 2016 - Entanglement Matters#1213
  • Math#23168

Knowen© 2026 KTree Inc.

ExplorePricingIntegrationsContact usLeave feedback