| Autore |
Halmos Paul R (Paul Richard), <1916-2006.>
|
| Pubbl/distr/stampa |
[Washington, DC], : Mathematical Association of America, c1995
|
| Descrizione fisica |
1 online resource (348 p.)
|
| Disciplina |
512/.5/076
|
| Collana |
Dolciani mathematical expositions
|
| Soggetto topico |
Algebras, Linear
|
| Soggetto genere / forma |
Electronic books.
|
| ISBN |
1-61444-212-6
|
| Formato |
Materiale a stampa  |
| Livello bibliografico |
Monografia |
| Lingua di pubblicazione |
eng
|
| Nota di contenuto |
""Linear Algebra Problem Book""; ""copyright page ""; ""Preface ""; ""Contents""; ""1 SCALARS""; ""1. Double addition""; ""2. Half double addition""; ""3. Exponentiation""; ""4. Complex numbers""; ""5. Affine transformations""; ""6. Matrix multiplication""; ""7. Modular multiplication""; ""8. Small operations""; ""9. Identity elements""; ""10. Complex inverses""; ""11. Affine inverses""; ""12. Matrix inverses""; ""13. Abelian groups""; ""14. Groups""; ""15. Independent group axioms""; ""16. Fields""; ""17. Addition and multiplication in fields""; ""18. Distributive failure""
""19. Finite fields""""2 VECTORS""; ""20. Vector spaces""; ""21. Examples""; ""22. Linear combinations""; ""23. Subspaces""; ""24. Unions of subspaces""; ""25. Spans""; ""26. Equalities of spans""; ""27. Some special spans""; ""28. Sums of subspaces""; ""29. Distributive subspaces""; ""30. Total sets""; ""31. Dependence""; ""32. Independence""; ""3 BASES""; ""33. Exchanging bases""; ""34. Simultaneous complements""; ""35. Examples of independence""; ""36. Independence over R and Q""; ""37. Independence in C^2""; ""38. Vectors common to different bases""; ""39. Bases in C^3""
""40. Maximal independent sets""""41. Complex as real""; ""42. Subspaces of full dimension""; ""43. Extended bases""; ""44. Finite-dimensional subspaces""; ""45. Minimal total sets""; ""46. Existence of minimal total sets""; ""47. Infinitely total sets""; ""48. Relatively independent sets""; ""49. Number of bases in a finite vector space""; ""50. Direct sums""; ""51. Quotient spaces""; ""52. Dimension of a quotient space""; ""53. Additivity of dimension""; ""4 TRANSFORMATIONS""; ""54. Linear transformations""; ""55. Domain and range""; ""56. Kernel""; ""57. Composition""
""78. Reflexivity""""79. Annihilators""; ""80. Double annihilators""; ""81. Adjoints""; ""82. Adjoints of projections""; ""83. Matrices of adjoints""; ""6 SIMILARITY""; ""84. Change of basis: vectors""; ""85. Change of basis: coordinates""; ""86. Similarity: transformations""; ""87. Similarity: matrices""; ""88. Inherited similarity""; ""89. Similarity: real and complex""; ""90. Rank and nullity""; ""91. Similarity and rank""; ""92. Similarity of transposes""; ""93. Ranks of sums""; ""94. Ranks of products""; ""95. Nullities of sums and products""; ""96. Some similarities""
""97. Equivalence""
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| Record Nr. | UNINA-9910462642803321 |
Info
Linear algebra problem book [[electronic resource] /] / Paul R. Halmos
