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Simultaneous equations to matrices


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$begingroup$


begin{align}
X_{1}x_{1}+Y_{1}y_{1}+Z_{1}z_{1} &= A tag{Eq. 1} \
X_{2}x_{2}+Y_{2}y_{2}+Z_{2}z_{2} &= B tag{Eq. 2} \
&vdots \
X_{12}x_{12}+Y_{12}y_{12}+Z_{12}z_{12} &= L tag{Eq. 12}
end{align}



How would I convert these into a matrix equation of the form
$$AB = C?$$



$A$, $B$ and $C$ should all be matrices.










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$endgroup$

















    0












    $begingroup$


    begin{align}
    X_{1}x_{1}+Y_{1}y_{1}+Z_{1}z_{1} &= A tag{Eq. 1} \
    X_{2}x_{2}+Y_{2}y_{2}+Z_{2}z_{2} &= B tag{Eq. 2} \
    &vdots \
    X_{12}x_{12}+Y_{12}y_{12}+Z_{12}z_{12} &= L tag{Eq. 12}
    end{align}



    How would I convert these into a matrix equation of the form
    $$AB = C?$$



    $A$, $B$ and $C$ should all be matrices.










    share|cite|improve this question









    New contributor




    Coder is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.







    $endgroup$















      0












      0








      0





      $begingroup$


      begin{align}
      X_{1}x_{1}+Y_{1}y_{1}+Z_{1}z_{1} &= A tag{Eq. 1} \
      X_{2}x_{2}+Y_{2}y_{2}+Z_{2}z_{2} &= B tag{Eq. 2} \
      &vdots \
      X_{12}x_{12}+Y_{12}y_{12}+Z_{12}z_{12} &= L tag{Eq. 12}
      end{align}



      How would I convert these into a matrix equation of the form
      $$AB = C?$$



      $A$, $B$ and $C$ should all be matrices.










      share|cite|improve this question









      New contributor




      Coder is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.







      $endgroup$




      begin{align}
      X_{1}x_{1}+Y_{1}y_{1}+Z_{1}z_{1} &= A tag{Eq. 1} \
      X_{2}x_{2}+Y_{2}y_{2}+Z_{2}z_{2} &= B tag{Eq. 2} \
      &vdots \
      X_{12}x_{12}+Y_{12}y_{12}+Z_{12}z_{12} &= L tag{Eq. 12}
      end{align}



      How would I convert these into a matrix equation of the form
      $$AB = C?$$



      $A$, $B$ and $C$ should all be matrices.







      matrices systems-of-equations






      share|cite|improve this question









      New contributor




      Coder is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|cite|improve this question









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      share|cite|improve this question




      share|cite|improve this question








      edited 2 days ago









      Rócherz

      2,8912821




      2,8912821






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      asked 2 days ago









      CoderCoder

      32




      32




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