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15A03 - Linear and multilinear algebra; matrix theory :: Vector spaces, linear dependence, rank

  1. a group homomorphism is injective iff the kernel is trivial owned by alozano
  2. absorbing set owned by CWoo
  3. all bases for a vector space have the same cardinality owned by CWoo
  4. annihilator of vector subspace owned by stevecheng
  5. another proof of rank-nullity theorem owned by CWoo
  6. axiomatization of dependence owned by rspuzio
  7. basis owned by mathcam
  8. Berlekamp-Massey algorithm owned by mathcam
  9. blade owned by PhysBrain
  10. cardinalities of bases for modules owned by CWoo
  11. closure of a vector subspace in a normed space is a vector subspace owned by gumau
  12. closure of a vector subspace is a vector subspace owned by loner
  13. complementary subspace owned by rmilson
  14. complexification of vector space owned by stevecheng
  15. countable basis owned by djao
  16. determining rank of matrix owned by Algeboy
  17. diagonalization of quadratic form owned by rspuzio
  18. dimension owned by bbukh
  19. dimension (vector space) owned by rmilson
  20. dimension formulae for vector spaces owned by yark
  21. direct sum of Hermitian and skew-Hermitian matrices owned by mathcam
  22. Euclidean space owned by rmilson
  23. every finite dimensional subspace of a normed space is closed owned by Mathprof
  24. every normed space with Schauder basis is separable owned by asteroid
  25. every subspace of a normed space of finite dimension is closed owned by Mathprof
  26. every vector space has a basis owned by GrafZahl
  27. example of construction of a Schauder basis owned by perucho
  28. finite dimensional proper subspaces of a normed space are nowhere dense owned by asteroid
  29. fixed-point subspace owned by mathcam
  30. flag owned by rmilson
  31. frame owned by rmilson
  32. Hamel function owned by mathcam
  33. linear combination owned by yark
  34. linear manifold owned by matte
  35. linearly independent owned by rmilson
  36. list vector owned by rmilson
  37. maple implementation of Berlekamp-Massey algorithm owned by daveagp
  38. nullity owned by rmilson
  39. physical vector owned by rmilson
  40. proof of rank-nullity theorem owned by rmilson
  41. proof of Riesz' Lemma owned by gumau
  42. proof of the dimension theorem for subspaces owned by yark
  43. properties of bases owned by CWoo
  44. properties of linear independence owned by CWoo
  45. properties of spanning sets owned by CWoo
  46. rank of a linear mapping owned by yark
  47. rank-nullity theorem owned by rmilson
  48. rank-nullity theorem owned by yark
  49. Riesz' Lemma owned by gumau
  50. scalar owned by mathcam
  51. similar matrix owned by Wkbj79
  52. span owned by mathwizard
  53. standard basis owned by Mathprof
  54. Sylvester's law owned by rspuzio
  55. symmetric tensor owned by Mathprof
  56. theorem for the direct sum of finite dimensional vector spaces owned by matte
  57. topological complement owned by asteroid
  58. unit vector owned by rmilson
  59. vector owned by rmilson
  60. vector space over an infinite field is not a finite union of proper subspaces owned by loner
  61. vector spaces are isomorphic iff their bases are equipollent owned by CWoo
  62. Zorn's lemma and bases for vector spaces owned by CWoo

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