Solution to linear equations [on hold] The 2019 Stack Overflow Developer Survey Results Are In Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)The solution of the following two equations in two unknownsUnderdetermined Linear Systems and the Least Squares SolutionSolution of a system of linear equationsA couple of questions about a proof of the fact that a linear system has a non-trivial solutionLinear Algebra: System of EquationsLinear equations over finite field of size 2Solving a combined system of linear and bilinear equationsUnderstanding solution of system of linear equationslinear equations has an infinite number of solutionSolve the following system of linear equations

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Solution to linear equations [on hold]



The 2019 Stack Overflow Developer Survey Results Are In
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)The solution of the following two equations in two unknownsUnderdetermined Linear Systems and the Least Squares SolutionSolution of a system of linear equationsA couple of questions about a proof of the fact that a linear system has a non-trivial solutionLinear Algebra: System of EquationsLinear equations over finite field of size 2Solving a combined system of linear and bilinear equationsUnderstanding solution of system of linear equationslinear equations has an infinite number of solutionSolve the following system of linear equations










0












$begingroup$


Please, help me answer the following question:



Given $(x_n,y_n),;;n=1,ldots,N$, we need to solve for $m$ and $b$ from
$$
mx_n +b = y_n, ;;n=1,ldots,N.
$$



  1. Write this as a linear system where the unknowns are $m$ and $b$.


  2. Write down, and solve the normal equations for the unknows $m$ and $b$.


My Answer to 1 is:



$$
sum_n=1^N (mx_n + b) = sum_n=1^N (y_n).
$$



But how to solve q 2?



Please, help me with this issue.










share|cite|improve this question







New contributor




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







$endgroup$



put on hold as off-topic by Gerry Myerson, Adrian Keister, GNUSupporter 8964民主女神 地下教會, José Carlos Santos, Alexander Gruber 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Adrian Keister, GNUSupporter 8964民主女神 地下教會, José Carlos Santos, Alexander Gruber
If this question can be reworded to fit the rules in the help center, please edit the question.











  • 2




    $begingroup$
    Welcome to Math Stack Exchange. The sums you wrote could be equal without the summands being equal. Consider instead a diagonal $Ntimes N$ matrix
    $endgroup$
    – J. W. Tanner
    Apr 8 at 13:00










  • $begingroup$
    Do you know what an "overdetermined system" is?
    $endgroup$
    – 5xum
    Apr 8 at 13:06










  • $begingroup$
    More to the point, do you know what is meant by "the normal equations"? If not, go have a good look at whatever study materials you have available – this is something you absolutely must learn.
    $endgroup$
    – Gerry Myerson
    Apr 8 at 13:20










  • $begingroup$
    Are you still here, Alberto?
    $endgroup$
    – Gerry Myerson
    Apr 10 at 0:22










  • $begingroup$
    I'm voting to close this question as off-topic because OP has abandoned it.
    $endgroup$
    – Gerry Myerson
    2 days ago















0












$begingroup$


Please, help me answer the following question:



Given $(x_n,y_n),;;n=1,ldots,N$, we need to solve for $m$ and $b$ from
$$
mx_n +b = y_n, ;;n=1,ldots,N.
$$



  1. Write this as a linear system where the unknowns are $m$ and $b$.


  2. Write down, and solve the normal equations for the unknows $m$ and $b$.


My Answer to 1 is:



$$
sum_n=1^N (mx_n + b) = sum_n=1^N (y_n).
$$



But how to solve q 2?



Please, help me with this issue.










share|cite|improve this question







New contributor




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







$endgroup$



put on hold as off-topic by Gerry Myerson, Adrian Keister, GNUSupporter 8964民主女神 地下教會, José Carlos Santos, Alexander Gruber 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Adrian Keister, GNUSupporter 8964民主女神 地下教會, José Carlos Santos, Alexander Gruber
If this question can be reworded to fit the rules in the help center, please edit the question.











  • 2




    $begingroup$
    Welcome to Math Stack Exchange. The sums you wrote could be equal without the summands being equal. Consider instead a diagonal $Ntimes N$ matrix
    $endgroup$
    – J. W. Tanner
    Apr 8 at 13:00










  • $begingroup$
    Do you know what an "overdetermined system" is?
    $endgroup$
    – 5xum
    Apr 8 at 13:06










  • $begingroup$
    More to the point, do you know what is meant by "the normal equations"? If not, go have a good look at whatever study materials you have available – this is something you absolutely must learn.
    $endgroup$
    – Gerry Myerson
    Apr 8 at 13:20










  • $begingroup$
    Are you still here, Alberto?
    $endgroup$
    – Gerry Myerson
    Apr 10 at 0:22










  • $begingroup$
    I'm voting to close this question as off-topic because OP has abandoned it.
    $endgroup$
    – Gerry Myerson
    2 days ago













0












0








0





$begingroup$


Please, help me answer the following question:



Given $(x_n,y_n),;;n=1,ldots,N$, we need to solve for $m$ and $b$ from
$$
mx_n +b = y_n, ;;n=1,ldots,N.
$$



  1. Write this as a linear system where the unknowns are $m$ and $b$.


  2. Write down, and solve the normal equations for the unknows $m$ and $b$.


My Answer to 1 is:



$$
sum_n=1^N (mx_n + b) = sum_n=1^N (y_n).
$$



But how to solve q 2?



Please, help me with this issue.










share|cite|improve this question







New contributor




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







$endgroup$




Please, help me answer the following question:



Given $(x_n,y_n),;;n=1,ldots,N$, we need to solve for $m$ and $b$ from
$$
mx_n +b = y_n, ;;n=1,ldots,N.
$$



  1. Write this as a linear system where the unknowns are $m$ and $b$.


  2. Write down, and solve the normal equations for the unknows $m$ and $b$.


My Answer to 1 is:



$$
sum_n=1^N (mx_n + b) = sum_n=1^N (y_n).
$$



But how to solve q 2?



Please, help me with this issue.







linear-algebra matrices






share|cite|improve this question







New contributor




Alberto Alvarez 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







New contributor




Alberto Alvarez 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




share|cite|improve this question






New contributor




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









asked Apr 8 at 12:57









Alberto AlvarezAlberto Alvarez

22




22




New contributor




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





New contributor





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






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




put on hold as off-topic by Gerry Myerson, Adrian Keister, GNUSupporter 8964民主女神 地下教會, José Carlos Santos, Alexander Gruber 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Adrian Keister, GNUSupporter 8964民主女神 地下教會, José Carlos Santos, Alexander Gruber
If this question can be reworded to fit the rules in the help center, please edit the question.







put on hold as off-topic by Gerry Myerson, Adrian Keister, GNUSupporter 8964民主女神 地下教會, José Carlos Santos, Alexander Gruber 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Adrian Keister, GNUSupporter 8964民主女神 地下教會, José Carlos Santos, Alexander Gruber
If this question can be reworded to fit the rules in the help center, please edit the question.







  • 2




    $begingroup$
    Welcome to Math Stack Exchange. The sums you wrote could be equal without the summands being equal. Consider instead a diagonal $Ntimes N$ matrix
    $endgroup$
    – J. W. Tanner
    Apr 8 at 13:00










  • $begingroup$
    Do you know what an "overdetermined system" is?
    $endgroup$
    – 5xum
    Apr 8 at 13:06










  • $begingroup$
    More to the point, do you know what is meant by "the normal equations"? If not, go have a good look at whatever study materials you have available – this is something you absolutely must learn.
    $endgroup$
    – Gerry Myerson
    Apr 8 at 13:20










  • $begingroup$
    Are you still here, Alberto?
    $endgroup$
    – Gerry Myerson
    Apr 10 at 0:22










  • $begingroup$
    I'm voting to close this question as off-topic because OP has abandoned it.
    $endgroup$
    – Gerry Myerson
    2 days ago












  • 2




    $begingroup$
    Welcome to Math Stack Exchange. The sums you wrote could be equal without the summands being equal. Consider instead a diagonal $Ntimes N$ matrix
    $endgroup$
    – J. W. Tanner
    Apr 8 at 13:00










  • $begingroup$
    Do you know what an "overdetermined system" is?
    $endgroup$
    – 5xum
    Apr 8 at 13:06










  • $begingroup$
    More to the point, do you know what is meant by "the normal equations"? If not, go have a good look at whatever study materials you have available – this is something you absolutely must learn.
    $endgroup$
    – Gerry Myerson
    Apr 8 at 13:20










  • $begingroup$
    Are you still here, Alberto?
    $endgroup$
    – Gerry Myerson
    Apr 10 at 0:22










  • $begingroup$
    I'm voting to close this question as off-topic because OP has abandoned it.
    $endgroup$
    – Gerry Myerson
    2 days ago







2




2




$begingroup$
Welcome to Math Stack Exchange. The sums you wrote could be equal without the summands being equal. Consider instead a diagonal $Ntimes N$ matrix
$endgroup$
– J. W. Tanner
Apr 8 at 13:00




$begingroup$
Welcome to Math Stack Exchange. The sums you wrote could be equal without the summands being equal. Consider instead a diagonal $Ntimes N$ matrix
$endgroup$
– J. W. Tanner
Apr 8 at 13:00












$begingroup$
Do you know what an "overdetermined system" is?
$endgroup$
– 5xum
Apr 8 at 13:06




$begingroup$
Do you know what an "overdetermined system" is?
$endgroup$
– 5xum
Apr 8 at 13:06












$begingroup$
More to the point, do you know what is meant by "the normal equations"? If not, go have a good look at whatever study materials you have available – this is something you absolutely must learn.
$endgroup$
– Gerry Myerson
Apr 8 at 13:20




$begingroup$
More to the point, do you know what is meant by "the normal equations"? If not, go have a good look at whatever study materials you have available – this is something you absolutely must learn.
$endgroup$
– Gerry Myerson
Apr 8 at 13:20












$begingroup$
Are you still here, Alberto?
$endgroup$
– Gerry Myerson
Apr 10 at 0:22




$begingroup$
Are you still here, Alberto?
$endgroup$
– Gerry Myerson
Apr 10 at 0:22












$begingroup$
I'm voting to close this question as off-topic because OP has abandoned it.
$endgroup$
– Gerry Myerson
2 days ago




$begingroup$
I'm voting to close this question as off-topic because OP has abandoned it.
$endgroup$
– Gerry Myerson
2 days ago










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