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Forum: Linear and Abstract Algebra

Linear Systems of Equations, Eigenvalues and Eigenvectors, Vector Spaces, Groups, Rings, Fields

  1. Sticky Thread Sticky Threads

  2. Sticky Thread Linear Algebra Proofs and Problems

    Started by dwsmith, March 7th, 2012 21:33
    • Replies: 1
    • Views: 10,387
    March 8th, 2012, 20:05 Go to last post
  1. Normal Thread Normal Threads

  2. Jacobson Radical and Rad(M) - Bland Corollary 6.1.3 ...

    Started by Peter, January 1st, 2017 00:42
    • Replies: 7
    • Views: 197
    January 4th, 2017, 21:44 Go to last post
  3. Determining a determinant using recurrence relations

    Started by karseme, January 4th, 2017 09:23
    $startvmatrix2, cdots, determinant, quad, vdots
    • Replies: 1
    • Views: 97
    January 4th, 2017, 15:26 Go to last post
  4. Show that E/Q is normal

    Started by mathmari, December 30th, 2016 18:23
    compute, irreducible, normal, polynomial, show
    • Replies: 1
    • Views: 102
    January 1st, 2017, 11:30 Go to last post
  5. Finitely Generated Modules and Maximal Submodules

    Started by Peter, December 31st, 2016 02:14
    • Replies: 2
    • Views: 96
    January 1st, 2017, 00:53 Go to last post
  6. Why is this polynomial separable?

    Started by mathmari, December 29th, 2016 12:19
    2 Pages
    1 2
    $f$, $pm, polynomial, roots, separable
    • Replies: 10
    • Views: 226
    December 30th, 2016, 16:29 Go to last post
  7. [SOLVED] Showing that P_3 is a subspace to P_n

    Started by Cbarker1, December 28th, 2016 22:57
    $$p_3$$, proof, show, start, subspace
    • Replies: 6
    • Views: 146
    December 29th, 2016, 09:42 Go to last post
  8. Eisenstein polynomial and field extension

    Started by mathmari, October 7th, 2016 04:33
    3 Pages
    1 2 3
    $fx$, $fx+1$, extension, irreducible, wondering
    • Replies: 24
    • Views: 810
    December 29th, 2016, 08:27 Go to last post
  9. t is algebraic over F(S)

    Started by mathmari, December 18th, 2016 17:56
    $f$, algebraically, independent, ldots, show
    • Replies: 5
    • Views: 188
    December 29th, 2016, 07:08 Go to last post
  10. [SOLVED] Why does this hold when we have the zero matrix?

    Started by mathmari, December 13th, 2016 08:26
    $lambda, mathbbr^2times, matrix, show, x_1b=lambda
    • Replies: 7
    • Views: 223
    December 19th, 2016, 08:56 Go to last post
  11. E/F is an extension with radicals of order n

    Started by mathmari, December 16th, 2016 18:51
    • Replies: 0
    • Views: 72
    December 16th, 2016, 18:51 Go to last post
  12. Basis and dimension

    Started by mathmari, December 12th, 2016 22:57
    basis, beginpmatrix, dimension, endpmatrix, wondering
    • Replies: 5
    • Views: 166
    December 14th, 2016, 06:30 Go to last post
  13. [SOLVED] Extend the vectors to a basis

    Started by mathmari, December 9th, 2016 05:42
    beginpmatrix, extend, independent, linearly, vectors
    • Replies: 4
    • Views: 139
    December 10th, 2016, 17:45 Go to last post
  14. Determine the vectors of components

    Started by mathmari, December 9th, 2016 21:51
    components, determine, vectors, x^2, x^3
    • Replies: 1
    • Views: 91
    December 10th, 2016, 05:40 Go to last post
  15. Vector space question

    Started by LearnerJr, December 9th, 2016 00:18
    • Replies: 3
    • Views: 146
    December 9th, 2016, 22:23 Go to last post
  16. The rank of a 4 x 6 matrix

    Started by MaryAnn, December 8th, 2016 17:47
    &-1, &-2, &18, &27, matrix
    • Replies: 2
    • Views: 134
    December 9th, 2016, 09:40 Go to last post
  17. Find the General Expression for a Linear Transformation

    Started by Leanna, December 8th, 2016 18:28
    • Replies: 4
    • Views: 160
    December 8th, 2016, 22:24 Go to last post
    • Replies: 3
    • Views: 146
    December 7th, 2016, 01:04 Go to last post
  18. Basis of R-vector space

    Started by mathmari, December 3rd, 2016 00:04
    2 Pages
    1 2
    $forall, cdot, forall, space, wondering
    • Replies: 14
    • Views: 333
    December 5th, 2016, 06:42 Go to last post
  19. Are these vector spaces?

    Started by mathmari, December 2nd, 2016 19:36
    2 Pages
    1 2
    $forall, addition, cdot, multiplication, space
    • Replies: 14
    • Views: 340
    December 4th, 2016, 11:31 Go to last post
  20. Simple Unitial Rings .... centre is a field ... ? ...

    Started by Peter, December 2nd, 2016 20:34
    • Replies: 2
    • Views: 110
    December 3rd, 2016, 19:10 Go to last post
  21. Characteristic Equations and Commutativity

    Started by MaryAnn, November 29th, 2016 18:25
    $m$, characteristic, lambda, m^-1|, |mn
    • Replies: 7
    • Views: 293
    December 3rd, 2016, 10:30 Go to last post
  22. Centre of an Algebra ... and Central Algebras ...

    Started by Peter, November 27th, 2016 23:54
    • Replies: 7
    • Views: 247
    December 2nd, 2016, 20:19 Go to last post
  23. Finding the Set of Eigenvalues

    Started by MaryAnn, November 28th, 2016 19:10
    $lambda0$, eigenvalues, question, solutions, sqrtlambda
    • Replies: 7
    • Views: 218
    November 29th, 2016, 14:05 Go to last post
  24. Finding eigenvalues

    Started by MaryAnn, November 25th, 2016 23:13
    &-1, eigenvalues, entries, hand, matrix
    • Replies: 8
    • Views: 280
    November 28th, 2016, 18:03 Go to last post
  25. gH=Hg?

    Started by Alexmahone, November 20th, 2016 19:53
    $g$, $gh=hg$, $h$, hin, suppose
    • Replies: 4
    • Views: 221
    November 28th, 2016, 13:05 Go to last post

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