Notation for a matrix with same vector in columns

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Is there a notation for a matrix which columns are the same vector?



$$
x = left[beginarraycccx_1 & x_2 & x_3endarrayright]^T \
y = left[beginarraycccx & x & xendarrayright]
$$



Is there a proper notation for $y$?







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  • Maybe $[1,1,1]otimes x$ ? I think maybe it is $sum_i e_iotimes x$. I don't have full insight in how the kronecker product relates to the tensor product, but i think both can be see as "vector times vector".
    – Emil
    Aug 29 at 7:18










  • $Y=x1^T$ is often useful. Here $1$ is a column vector, whose elements are all equal to one.
    – greg
    Aug 29 at 18:15














up vote
0
down vote

favorite












Is there a notation for a matrix which columns are the same vector?



$$
x = left[beginarraycccx_1 & x_2 & x_3endarrayright]^T \
y = left[beginarraycccx & x & xendarrayright]
$$



Is there a proper notation for $y$?







share|cite|improve this question




















  • Maybe $[1,1,1]otimes x$ ? I think maybe it is $sum_i e_iotimes x$. I don't have full insight in how the kronecker product relates to the tensor product, but i think both can be see as "vector times vector".
    – Emil
    Aug 29 at 7:18










  • $Y=x1^T$ is often useful. Here $1$ is a column vector, whose elements are all equal to one.
    – greg
    Aug 29 at 18:15












up vote
0
down vote

favorite









up vote
0
down vote

favorite











Is there a notation for a matrix which columns are the same vector?



$$
x = left[beginarraycccx_1 & x_2 & x_3endarrayright]^T \
y = left[beginarraycccx & x & xendarrayright]
$$



Is there a proper notation for $y$?







share|cite|improve this question












Is there a notation for a matrix which columns are the same vector?



$$
x = left[beginarraycccx_1 & x_2 & x_3endarrayright]^T \
y = left[beginarraycccx & x & xendarrayright]
$$



Is there a proper notation for $y$?









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asked Aug 29 at 6:50









Luis

31




31











  • Maybe $[1,1,1]otimes x$ ? I think maybe it is $sum_i e_iotimes x$. I don't have full insight in how the kronecker product relates to the tensor product, but i think both can be see as "vector times vector".
    – Emil
    Aug 29 at 7:18










  • $Y=x1^T$ is often useful. Here $1$ is a column vector, whose elements are all equal to one.
    – greg
    Aug 29 at 18:15
















  • Maybe $[1,1,1]otimes x$ ? I think maybe it is $sum_i e_iotimes x$. I don't have full insight in how the kronecker product relates to the tensor product, but i think both can be see as "vector times vector".
    – Emil
    Aug 29 at 7:18










  • $Y=x1^T$ is often useful. Here $1$ is a column vector, whose elements are all equal to one.
    – greg
    Aug 29 at 18:15















Maybe $[1,1,1]otimes x$ ? I think maybe it is $sum_i e_iotimes x$. I don't have full insight in how the kronecker product relates to the tensor product, but i think both can be see as "vector times vector".
– Emil
Aug 29 at 7:18




Maybe $[1,1,1]otimes x$ ? I think maybe it is $sum_i e_iotimes x$. I don't have full insight in how the kronecker product relates to the tensor product, but i think both can be see as "vector times vector".
– Emil
Aug 29 at 7:18












$Y=x1^T$ is often useful. Here $1$ is a column vector, whose elements are all equal to one.
– greg
Aug 29 at 18:15




$Y=x1^T$ is often useful. Here $1$ is a column vector, whose elements are all equal to one.
– greg
Aug 29 at 18:15










2 Answers
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The notation you have for $y$ is fine. It's common block matrix notation.






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    Sometimes I've seen it wrote like this $$left(beginmatrix |&|&|\x&x&x\|&|&|endmatrixright)$$ The form you suggested doesn't seems right to me, but I could be wrong!






    share|cite|improve this answer




















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      2 Answers
      2






      active

      oldest

      votes








      2 Answers
      2






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes








      up vote
      1
      down vote



      accepted










      The notation you have for $y$ is fine. It's common block matrix notation.






      share|cite|improve this answer
























        up vote
        1
        down vote



        accepted










        The notation you have for $y$ is fine. It's common block matrix notation.






        share|cite|improve this answer






















          up vote
          1
          down vote



          accepted







          up vote
          1
          down vote



          accepted






          The notation you have for $y$ is fine. It's common block matrix notation.






          share|cite|improve this answer












          The notation you have for $y$ is fine. It's common block matrix notation.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Aug 29 at 8:19









          Arthur

          101k795176




          101k795176




















              up vote
              0
              down vote













              Sometimes I've seen it wrote like this $$left(beginmatrix |&|&|\x&x&x\|&|&|endmatrixright)$$ The form you suggested doesn't seems right to me, but I could be wrong!






              share|cite|improve this answer
























                up vote
                0
                down vote













                Sometimes I've seen it wrote like this $$left(beginmatrix |&|&|\x&x&x\|&|&|endmatrixright)$$ The form you suggested doesn't seems right to me, but I could be wrong!






                share|cite|improve this answer






















                  up vote
                  0
                  down vote










                  up vote
                  0
                  down vote









                  Sometimes I've seen it wrote like this $$left(beginmatrix |&|&|\x&x&x\|&|&|endmatrixright)$$ The form you suggested doesn't seems right to me, but I could be wrong!






                  share|cite|improve this answer












                  Sometimes I've seen it wrote like this $$left(beginmatrix |&|&|\x&x&x\|&|&|endmatrixright)$$ The form you suggested doesn't seems right to me, but I could be wrong!







                  share|cite|improve this answer












                  share|cite|improve this answer



                  share|cite|improve this answer










                  answered Aug 29 at 7:02









                  Davide Morgante

                  2,550623




                  2,550623



























                       

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