Creating sympy Matrices from columns










1















I'm trying to create a sympy Matrix by choosing columns from an existing Matrix (for calculating principal minors). At the moment I'm doing it like this:



>>> A = Matrix(3,5,[2,3,4,1,34,23,12,54,5,0,0,0,3,4,5])
>>> l = [A[:,i].T for i in [2,3,0]]
>>> M = Matrix(l).T
>>> M
Matrix([
[ 4, 1, 2],
[54, 5, 23],
[ 3, 4, 0]])


But this seems wasteful to me (especially the need to transpose twice. I don't know if this is time consuming). Is there a better way? Would there be a better way if i only need the determinant?










share|improve this question




























    1















    I'm trying to create a sympy Matrix by choosing columns from an existing Matrix (for calculating principal minors). At the moment I'm doing it like this:



    >>> A = Matrix(3,5,[2,3,4,1,34,23,12,54,5,0,0,0,3,4,5])
    >>> l = [A[:,i].T for i in [2,3,0]]
    >>> M = Matrix(l).T
    >>> M
    Matrix([
    [ 4, 1, 2],
    [54, 5, 23],
    [ 3, 4, 0]])


    But this seems wasteful to me (especially the need to transpose twice. I don't know if this is time consuming). Is there a better way? Would there be a better way if i only need the determinant?










    share|improve this question


























      1












      1








      1








      I'm trying to create a sympy Matrix by choosing columns from an existing Matrix (for calculating principal minors). At the moment I'm doing it like this:



      >>> A = Matrix(3,5,[2,3,4,1,34,23,12,54,5,0,0,0,3,4,5])
      >>> l = [A[:,i].T for i in [2,3,0]]
      >>> M = Matrix(l).T
      >>> M
      Matrix([
      [ 4, 1, 2],
      [54, 5, 23],
      [ 3, 4, 0]])


      But this seems wasteful to me (especially the need to transpose twice. I don't know if this is time consuming). Is there a better way? Would there be a better way if i only need the determinant?










      share|improve this question
















      I'm trying to create a sympy Matrix by choosing columns from an existing Matrix (for calculating principal minors). At the moment I'm doing it like this:



      >>> A = Matrix(3,5,[2,3,4,1,34,23,12,54,5,0,0,0,3,4,5])
      >>> l = [A[:,i].T for i in [2,3,0]]
      >>> M = Matrix(l).T
      >>> M
      Matrix([
      [ 4, 1, 2],
      [54, 5, 23],
      [ 3, 4, 0]])


      But this seems wasteful to me (especially the need to transpose twice. I don't know if this is time consuming). Is there a better way? Would there be a better way if i only need the determinant?







      python matrix sympy






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited Nov 13 '18 at 5:02









      Cœur

      17.9k9107147




      17.9k9107147










      asked May 4 '17 at 8:01









      pyrogenpyrogen

      373




      373






















          1 Answer
          1






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          1














          You can use [2, 3, 0] as index.



          >>> A = Matrix(3, 5, [2,3,4,1,34,23,12,54,5,0,0,0,3,4,5])
          >>> A[:, [2,3,0]]
          Matrix([
          [ 4, 1, 2],
          [54, 5, 23],
          [ 3, 4, 0]])



          For lower version that does not support using list as a index, you can use Matrix.hstack:



          >>> Matrix.hstack(*(A.col(i) for i in [2,3,0]))
          Matrix([
          [ 4, 1, 2],
          [54, 5, 23],
          [ 3, 4, 0]])


          or Matrix.row_join:



          >>> # from functools import reduce # For Python 3.x
          >>> reduce(Matrix.row_join, (A.col(i) for i in [2,3,0]), Matrix(3,0,))
          Matrix([
          [ 4, 1, 2],
          [54, 5, 23],
          [ 3, 4, 0]])





          share|improve this answer

























          • This does not work for me. I get an IndexError: Invalid index a[[2, 3, 0]]. Do I have a wrong version (0.7.4.1)? or is this only possible with numpy matrices?

            – pyrogen
            May 12 '17 at 11:10











          • @pyrogen, I used sympy 1.0

            – falsetru
            May 12 '17 at 16:06











          • @pyrogen, I updated the answer to include alternative approaches. (tested with sympy 0.7.4.1)

            – falsetru
            May 12 '17 at 16:23












          • great! it works. I didnt know about hstack

            – pyrogen
            May 17 '17 at 9:58










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          1 Answer
          1






          active

          oldest

          votes








          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          1














          You can use [2, 3, 0] as index.



          >>> A = Matrix(3, 5, [2,3,4,1,34,23,12,54,5,0,0,0,3,4,5])
          >>> A[:, [2,3,0]]
          Matrix([
          [ 4, 1, 2],
          [54, 5, 23],
          [ 3, 4, 0]])



          For lower version that does not support using list as a index, you can use Matrix.hstack:



          >>> Matrix.hstack(*(A.col(i) for i in [2,3,0]))
          Matrix([
          [ 4, 1, 2],
          [54, 5, 23],
          [ 3, 4, 0]])


          or Matrix.row_join:



          >>> # from functools import reduce # For Python 3.x
          >>> reduce(Matrix.row_join, (A.col(i) for i in [2,3,0]), Matrix(3,0,))
          Matrix([
          [ 4, 1, 2],
          [54, 5, 23],
          [ 3, 4, 0]])





          share|improve this answer

























          • This does not work for me. I get an IndexError: Invalid index a[[2, 3, 0]]. Do I have a wrong version (0.7.4.1)? or is this only possible with numpy matrices?

            – pyrogen
            May 12 '17 at 11:10











          • @pyrogen, I used sympy 1.0

            – falsetru
            May 12 '17 at 16:06











          • @pyrogen, I updated the answer to include alternative approaches. (tested with sympy 0.7.4.1)

            – falsetru
            May 12 '17 at 16:23












          • great! it works. I didnt know about hstack

            – pyrogen
            May 17 '17 at 9:58















          1














          You can use [2, 3, 0] as index.



          >>> A = Matrix(3, 5, [2,3,4,1,34,23,12,54,5,0,0,0,3,4,5])
          >>> A[:, [2,3,0]]
          Matrix([
          [ 4, 1, 2],
          [54, 5, 23],
          [ 3, 4, 0]])



          For lower version that does not support using list as a index, you can use Matrix.hstack:



          >>> Matrix.hstack(*(A.col(i) for i in [2,3,0]))
          Matrix([
          [ 4, 1, 2],
          [54, 5, 23],
          [ 3, 4, 0]])


          or Matrix.row_join:



          >>> # from functools import reduce # For Python 3.x
          >>> reduce(Matrix.row_join, (A.col(i) for i in [2,3,0]), Matrix(3,0,))
          Matrix([
          [ 4, 1, 2],
          [54, 5, 23],
          [ 3, 4, 0]])





          share|improve this answer

























          • This does not work for me. I get an IndexError: Invalid index a[[2, 3, 0]]. Do I have a wrong version (0.7.4.1)? or is this only possible with numpy matrices?

            – pyrogen
            May 12 '17 at 11:10











          • @pyrogen, I used sympy 1.0

            – falsetru
            May 12 '17 at 16:06











          • @pyrogen, I updated the answer to include alternative approaches. (tested with sympy 0.7.4.1)

            – falsetru
            May 12 '17 at 16:23












          • great! it works. I didnt know about hstack

            – pyrogen
            May 17 '17 at 9:58













          1












          1








          1







          You can use [2, 3, 0] as index.



          >>> A = Matrix(3, 5, [2,3,4,1,34,23,12,54,5,0,0,0,3,4,5])
          >>> A[:, [2,3,0]]
          Matrix([
          [ 4, 1, 2],
          [54, 5, 23],
          [ 3, 4, 0]])



          For lower version that does not support using list as a index, you can use Matrix.hstack:



          >>> Matrix.hstack(*(A.col(i) for i in [2,3,0]))
          Matrix([
          [ 4, 1, 2],
          [54, 5, 23],
          [ 3, 4, 0]])


          or Matrix.row_join:



          >>> # from functools import reduce # For Python 3.x
          >>> reduce(Matrix.row_join, (A.col(i) for i in [2,3,0]), Matrix(3,0,))
          Matrix([
          [ 4, 1, 2],
          [54, 5, 23],
          [ 3, 4, 0]])





          share|improve this answer















          You can use [2, 3, 0] as index.



          >>> A = Matrix(3, 5, [2,3,4,1,34,23,12,54,5,0,0,0,3,4,5])
          >>> A[:, [2,3,0]]
          Matrix([
          [ 4, 1, 2],
          [54, 5, 23],
          [ 3, 4, 0]])



          For lower version that does not support using list as a index, you can use Matrix.hstack:



          >>> Matrix.hstack(*(A.col(i) for i in [2,3,0]))
          Matrix([
          [ 4, 1, 2],
          [54, 5, 23],
          [ 3, 4, 0]])


          or Matrix.row_join:



          >>> # from functools import reduce # For Python 3.x
          >>> reduce(Matrix.row_join, (A.col(i) for i in [2,3,0]), Matrix(3,0,))
          Matrix([
          [ 4, 1, 2],
          [54, 5, 23],
          [ 3, 4, 0]])






          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited May 12 '17 at 16:19

























          answered May 4 '17 at 8:14









          falsetrufalsetru

          246k34430427




          246k34430427












          • This does not work for me. I get an IndexError: Invalid index a[[2, 3, 0]]. Do I have a wrong version (0.7.4.1)? or is this only possible with numpy matrices?

            – pyrogen
            May 12 '17 at 11:10











          • @pyrogen, I used sympy 1.0

            – falsetru
            May 12 '17 at 16:06











          • @pyrogen, I updated the answer to include alternative approaches. (tested with sympy 0.7.4.1)

            – falsetru
            May 12 '17 at 16:23












          • great! it works. I didnt know about hstack

            – pyrogen
            May 17 '17 at 9:58

















          • This does not work for me. I get an IndexError: Invalid index a[[2, 3, 0]]. Do I have a wrong version (0.7.4.1)? or is this only possible with numpy matrices?

            – pyrogen
            May 12 '17 at 11:10











          • @pyrogen, I used sympy 1.0

            – falsetru
            May 12 '17 at 16:06











          • @pyrogen, I updated the answer to include alternative approaches. (tested with sympy 0.7.4.1)

            – falsetru
            May 12 '17 at 16:23












          • great! it works. I didnt know about hstack

            – pyrogen
            May 17 '17 at 9:58
















          This does not work for me. I get an IndexError: Invalid index a[[2, 3, 0]]. Do I have a wrong version (0.7.4.1)? or is this only possible with numpy matrices?

          – pyrogen
          May 12 '17 at 11:10





          This does not work for me. I get an IndexError: Invalid index a[[2, 3, 0]]. Do I have a wrong version (0.7.4.1)? or is this only possible with numpy matrices?

          – pyrogen
          May 12 '17 at 11:10













          @pyrogen, I used sympy 1.0

          – falsetru
          May 12 '17 at 16:06





          @pyrogen, I used sympy 1.0

          – falsetru
          May 12 '17 at 16:06













          @pyrogen, I updated the answer to include alternative approaches. (tested with sympy 0.7.4.1)

          – falsetru
          May 12 '17 at 16:23






          @pyrogen, I updated the answer to include alternative approaches. (tested with sympy 0.7.4.1)

          – falsetru
          May 12 '17 at 16:23














          great! it works. I didnt know about hstack

          – pyrogen
          May 17 '17 at 9:58





          great! it works. I didnt know about hstack

          – pyrogen
          May 17 '17 at 9:58

















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