2018-04-27 09:03:28 -0500 | received badge | ● Student (source) |

2018-04-26 04:38:43 -0500 | asked a question | Sage wont solve simultaneous equation I tried asking this question earlier, but my profile still says I have asked 0 questions. I have tried solving this problem in different ways, but this is the closest I have gotten; I know there is a solution to this problem, and it is the identity, $PXP^{\dagger}=X$. But the output: There is also probably a much more efficient way of specifying the problem, but I don't understand why this wont work. I would like to extend this problem to larger matrices as well, so autonomy is welcomed. However, I would appreciate any advice just on getting this error fixed. |

2018-04-26 04:38:43 -0500 | asked a question | Cannot solve system of simultaneous equations I am trying to solve a particular problem, but my test solution for setting up the code isn't working. I have tried two ways - one, which just outputs the same equations, and the other, I'm unsure on how to solve this large list of equations which are unrealistic to type out. First attempt This outputs $$\begin{pmatrix} ab+ac+bc & cd+ae+bf & cg+ah+bi \\ bd+ce+af & de+df+ef & fg+dh+ei \\ bg+ch+ai & eg+fh+di & gh+gi+hi \end{pmatrix}$$ I then make $L=X$, then type these equations element wise into the simultaneous equation solver; The output: Second attempt; This gives me a list of the equations, I then try the solver again; This just gives me an error: The hope is that I will be able to extend this to larger matrices, so autonomy is welcomed greatly. But I will happily take any advice given I'm at a completely lose end. It is worth noting that the solution to this problem; $$PXP^{\dagger}=X$ is the identity matrix. My understanding is that the first method cannot find a closed form? I have even tried specifying that a,b,c,d,e,f,g,h,i are all 0 or 1 and this has not helped. I believe my second method is more on the right track, however I cannot afford to manually type out the 9 non-linear equations that pop out from the matrix solver. |

2018-04-26 04:38:43 -0500 | asked a question | How to solve a large list of simultaneous equations I am trying to solve a particular problem, but my test solution for setting up the code isn't working. I have tried two ways - one, which just outputs the same equations, and the other, I'm unsure on how to solve this large list of equations which are unrealistic to type out. First attempt This outputs $$\begin{pmatrix} ab+ac+bc & cd+ae+bf & cg+ah+bi \\ bd+ce+af & de+df+ef & fg+dh+ei \\ bg+ch+ai & eg+fh+di & gh+gi+hi \end{pmatrix}$$ I then make $L=X$, then type these equations element wise into the simultaneous equation solver; The output: Second attempt; This gives me a list of the equations, I then try the solver again; This just gives me an error: The hope is that I will be able to extend this to larger matrices, so autonomy is welcomed greatly. But I will happily take any advice given I'm at a completely lose end. It is worth noting that the solution to this problem; $$PXP^{\dagger}=X$ is the identity matrix. My understanding is that the first method cannot find a closed form? I have even tried specifying that a,b,c,d,e,f,g,h,i are all 0 or 1 and this has not helped. I believe my second method is more on the right track, however I cannot afford to manually type out the 9 non-linear equations that pop out from the matrix solver. |

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