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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. coordinate vector owned by pahio
  16. countable basis owned by djao
  17. determining rank of matrix owned by Algeboy
  18. diagonalization of quadratic form owned by rspuzio
  19. dimension owned by bbukh
  20. dimension (vector space) owned by rmilson
  21. dimension formulae for vector spaces owned by yark
  22. direct sum of Hermitian and skew-Hermitian matrices owned by mathcam
  23. Euclidean space owned by rmilson
  24. every finite dimensional subspace of a normed space is closed owned by Mathprof
  25. every normed space with Schauder basis is separable owned by asteroid
  26. every subspace of a normed space of finite dimension is closed owned by Mathprof
  27. every vector space has a basis owned by GrafZahl
  28. example of construction of a Schauder basis owned by perucho
  29. finite dimensional proper subspaces of a normed space are nowhere dense owned by asteroid
  30. fixed-point subspace owned by mathcam
  31. flag owned by rmilson
  32. frame owned by rmilson
  33. Hamel function owned by mathcam
  34. linear combination owned by yark
  35. linear manifold owned by matte
  36. linearly independent owned by rmilson
  37. list vector owned by rmilson
  38. maple implementation of Berlekamp-Massey algorithm owned by daveagp
  39. nullity owned by rmilson
  40. physical vector owned by rmilson
  41. proof of rank-nullity theorem owned by rmilson
  42. proof of Riesz' Lemma owned by gumau
  43. proof of the dimension theorem for subspaces owned by yark
  44. properties of bases owned by CWoo
  45. properties of linear independence owned by CWoo
  46. properties of spanning sets owned by CWoo
  47. rank of a linear mapping owned by yark
  48. rank-nullity theorem owned by rmilson
  49. rank-nullity theorem owned by yark
  50. Riesz' Lemma owned by gumau
  51. scalar owned by mathcam
  52. similar matrix owned by Wkbj79
  53. span owned by mathwizard
  54. standard basis owned by Mathprof
  55. Sylvester's law owned by rspuzio
  56. symmetric tensor owned by Mathprof
  57. theorem for the direct sum of finite dimensional vector spaces owned by matte
  58. topological complement owned by asteroid
  59. unit vector owned by rmilson
  60. vector owned by rmilson
  61. vector space over an infinite field is not a finite union of proper subspaces owned by loner
  62. vector spaces are isomorphic iff their bases are equipollent owned by CWoo
  63. Zorn's lemma and bases for vector spaces owned by CWoo

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