View Full Version : Linear and Abstract Algebra


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  1. Give a linear transformation such that
  2. matrices, inverses, transposes, r.r.e.f...
  3. Finite fields and subfields
  4. Boolean atom
  5. [SOLVED] Solve linear systen with given matrix
  6. Linear Mapping question
  7. Signum function on symmetric groups
  8. Homomorphisms and cosets
  9. 2 Questions: Fields and Subfields
  10. [SOLVED] Prove that G has an element of order n
  11. 2 more Subgroup questions
  12. class field theory
  13. Eigenvector, linear transformation problem
  14. Ideal of a set
  15. commutative diagram
  16. Help with proof: If a is in S_n and commutes with every b in S_n, then a=(1)
  17. A Few Questions Involving Subgroups
  18. matrix multiplied by its transpose on the left or right = same eigenvalues?
  19. polynomial rings
  20. Gaussian Elimination to ensure solution
  21. [SOLVED] Help in Vector space: Linearly independent!
  22. Matrix proof
  23. Identity Element
  24. A question about rank/image of a linear transformation
  25. [SOLVED] proof
  26. The zariski topology
  27. Lie group expression
  28. 2 questions : Kernel/Image of a linear transformation and orthonormal basis
  29. [SOLVED] matrix determinant
  30. Finite Fields
  31. [SOLVED] Nonsingular matrix
  32. Maximal ideals of C[x,y]
  33. Finite Field
  34. how to show this map by some branch cuts maps unit circle into strip
  35. Unions of subrings
  36. Complex Conjugation Vector Space
  37. Give a basis of a subspace
  38. De morgans law.
  39. Order of this automorphism group
  40. Irreducible Polynomial
  41. Determine when vector is not in range of Matrix Transformation
  42. [SOLVED] Inverse of Matrices
  43. characteristic polynomial and invertible matrices
  44. confused about finding another vector to form a basis
  45. Fields and linear algebra
  46. crystallographic groups
  47. Linear transformation
  48. Projections
  49. Index notation meaning
  50. how do u prove these claims?
  51. perpendicular vectors linearly independent
  52. [SOLVED] Group Theory Help Please!!!
  53. Galois Theory
  54. [SOLVED] eigenvalue problem
  55. Matrices, Square matrix
  56. Existence of Normal Subgroup
  57. residually finite problem
  58. Fixed Point free automorphism of order 3
  59. Finding the closure of sets in a given topology
  60. Verification of a topology
  61. Diemsion of Hom
  62. Linear Algebra: Sub-Space!
  63. Limit points: topology
  64. Topology: Closure
  65. Closure
  66. Topology question
  67. Image of linear operator on finite vector space
  68. rank argument
  69. change-of-basepoint homomorphism
  70. composition of paths
  71. permutation and semidirect product
  72. Functions
  73. Linear algebra problem
  74. group theory
  75. Additive functor
  76. To non-commutative algebra, please help!
  77. A proof regarding rank
  78. orthogonal matrix
  79. Linear Algebra "show that" problem
  80. Spec(A), ring homomorphism
  81. Need a proof for a subspace
  82. Spans
  83. Order of a group
  84. Modules
  85. semidirect product (sorry the text looks messy)
  86. Simple Abstract Algebra
  87. Minimizing the trace of a special matrix
  88. Optimal Approximation
  89. Help with a direct sum proof
  90. Order of groups involving conjugates and abelian groups
  91. Span problem
  92. Angle of rotation in a matrix
  93. Column diagonally dominant
  94. Linear algebra
  95. Question on Fields
  96. Cosets
  97. matrix group 2
  98. Matrix group help
  99. the complex numbers C as a module over integers Z
  100. [SOLVED] Find all p-th roots in field of characteristic p
  101. Residually finite groups problems.
  102. A few Abstract Algebra questions
  103. subspace topology relationships
  104. Linalg - Proof involving distinct roots and derivatives
  105. Linearity / Matrix functions?
  106. Linear Span Proof
  107. ring of fractions
  108. matrix algebra
  109. Fields question - if a+bi is in F, show a-bi is in F
  110. How do I solve this? Linear Algebra.
  111. Find image of u under matrix transformation
  112. Vector Space and Linear Transformation
  113. Modules
  114. Splitting fields and irreducible polynomials
  115. Vector problem (just look at the link and skip my explanation)
  116. cyclic group
  117. Vector space and maximal proper subspace
  118. Urgent!
  119. Group Theory
  120. matrix help
  121. Group theory
  122. [SOLVED] Coprime
  123. Finding an error in a proof (topology)
  124. Negative Determinent of a matrix
  125. Quick Facts on Orthogonal Matrices
  126. Some Cartesian product questions
  127. Algebra
  128. Linear Algebra: Vector Space!
  129. find a subgroup H
  130. automorphism and dihedral group
  131. eigenvector problem
  132. General Topology
  133. Topology
  134. Topology
  135. complex numbers
  136. Population model
  137. Ring problem
  138. eigenvalues
  139. Isomorphism of abelian groups
  140. Linearly independent/dependent
  141. 3 Advanced Linear Algebra Proofs
  142. clopen sets in Std Topology
  143. Prove Matrices are symmetric
  144. Matrix eigenvalues
  145. Euclidean Domain
  146. Inverse of a matrix
  147. Homomorphism
  148. prove prime ideal is maximal
  149. compact sets
  150. mapping homomorphism and subgroup
  151. Intersection between two sets
  152. |Aut(G)|=|G|
  153. Prove that the norm on L^2 space is continuous
  154. Limit points-Topology
  155. Giving an example of a nilpotent matrix
  156. local bases help
  157. Limit of Sums of matrices
  158. anyone help me about incidence algebra?
  159. multiplication of matrices
  160. more matrix algebra
  161. Prove C=D
  162. metric spaces
  163. Invertible matrix proof
  164. Matrix proof 3
  165. Names of algebraic structures
  166. matrix proof 2
  167. matrix proof 1
  168. How to find a matrix who kernel is spanned by two vectors?
  169. Could you verify? F3-Field
  170. [SOLVED] Irreducible Representations
  171. indecomposable module
  172. infinite intersection and sum of submodules
  173. Ideals
  174. Topology comparison Question
  175. Subtraction in F3 Field 1-2-1
  176. homomorphism
  177. Dictionary Order Topology
  178. Comparing topologies
  179. Matrices and Inverses - Generalizing?
  180. Vector Proof with projections
  181. Proof-Abstract Algebra
  182. Symmetries of cube
  183. Lagrange's Thm and normal subgroup
  184. Kernel of Transformation?
  185. problems and solutions about group theory
  186. Again, phi euler function
  187. plz solve these problems.....
  188. the algebra of Diagonalized matrices
  189. Quick Topology question
  190. classify groups order 77
  191. Union of chains
  192. Centre of a Subgroup
  193. boundedness and linear operators question
  194. abstract algebra
  195. Euler phi function
  196. Prove that vectors ... are linearly dependent ...
  197. Smallest subring
  198. Problem defining a function
  199. Automorphism
  200. Group Theory - Sylow and Conjugation
  201. General Systems of Linear Equations
  202. linear algebra, rotation matrix
  203. Euclidean Domains
  204. Subfield Isomorphic To Q
  205. exact sequence of modules
  206. Idempotent linear map
  207. Determinant
  208. Topology question
  209. Boolean ring, induction
  210. Plugging Matrixes into Functions
  211. Similar matrices
  212. basic matrix
  213. Linear Transformations
  214. Linear algebra
  215. wreath product of groups
  216. [SOLVED] Proof
  217. counterexample for matrices
  218. how to build a 3*3 matrix for given eigenvalues
  219. Creating Topology from Subsets
  220. Topology Question
  221. special matrix product
  222. Projection
  223. primitive, Gauss Lemma
  224. Matrix Proof
  225. Proof of Transpose Property of Matrix
  226. Galios groups
  227. Base change matrices
  228. Reticulos
  229. help needed on algebra
  230. Linear Algebra: Eigenvalues question
  231. Proving Orthogonality
  232. show any square matrix in C has at least one eigenvalue
  233. Dimension and basis
  234. [SOLVED] Laws of Numbers
  235. Klein bottle, homeomorphic
  236. find the diagonalization of this matrix and its characteristic poly.
  237. equivalence relation, quotient space
  238. Proving a matrix is non-singular
  239. subspaces
  240. subgroups question
  241. RSA
  242. UFD that is not a PID
  243. Radical
  244. quotient map, open map
  245. Absract Algebra Proof
  246. topology, continuity
  247. Non linear map - determinant
  248. subspace, closed map
  249. Rings and Ideals
  250. Problem with Matrix and Gauss-Seidel (Maple)