Unclear proof in the Gauss-Markov theoremProof that Gauss-Jordan elimination worksPerron-Frobenius theoremWhat is the matrix norm in defining the generator of a continuous time Markov chain?Square root of a positive-definite Markov matrixThe characteristic polynomial of A matrix A^k related to AHow to convert Gauss-Siedel method to Successive Over Relaxation method.What's wrong with my “proof” of the Cayley-Hamilton Theorem?Theorems of solution of a linear system in linear algebra.How to understand the improvement of Levenberg-Marquardt algorithm to Gauss-Newton method?Markov Chain Probability question

How to check whether module is loaded with custom configurations?

What are some noteworthy "mic-drop" moments in math?

Virginia employer terminated employee and wants signing bonus returned

Why is a very small peak with larger m/z not considered to be the molecular ion?

Conservation of Mass and Energy

Does an unused member variable take up memory?

Doesn't allowing a user mode program to access kernel space memory and execute the IN and OUT instructions defeat the purpose of having CPU modes?

What will happen if my luggage gets delayed?

Why does Central Limit Theorem break down in my simulation?

Power Strip for Europe

Why couldn't the separatists legally leave the Republic?

Haman going to the second feast dirty

Getting the || sign while using Kurier

Doubts in understanding some concepts of potential energy

Can't make sense of a paragraph from Lovecraft

PTIJ: Why does only a Shor Tam ask at the Seder, and not a Shor Mu'ad?

Professor forcing me to attend a conference, I can't afford even with 50% funding

What is Earthy controling in the ISS cupola?

How does Ehrenfest's theorem apply to the quantum harmonic oscillator?

Is divide-by-zero a security vulnerability?

Why restrict private health insurance?

Trig Subsitution When There's No Square Root

What is this diamond of every day?

Does "Until when" sound natural for native speakers?



Unclear proof in the Gauss-Markov theorem


Proof that Gauss-Jordan elimination worksPerron-Frobenius theoremWhat is the matrix norm in defining the generator of a continuous time Markov chain?Square root of a positive-definite Markov matrixThe characteristic polynomial of A matrix A^k related to AHow to convert Gauss-Siedel method to Successive Over Relaxation method.What's wrong with my “proof” of the Cayley-Hamilton Theorem?Theorems of solution of a linear system in linear algebra.How to understand the improvement of Levenberg-Marquardt algorithm to Gauss-Newton method?Markov Chain Probability question













0












$begingroup$


I don't understand a step in the proof of the Gauss-Markov theorem:
proof



Mainly, why can we simply replace y with e, given that y is defined as:
y definition



Thanks in advance!










share|cite|improve this question









$endgroup$
















    0












    $begingroup$


    I don't understand a step in the proof of the Gauss-Markov theorem:
    proof



    Mainly, why can we simply replace y with e, given that y is defined as:
    y definition



    Thanks in advance!










    share|cite|improve this question









    $endgroup$














      0












      0








      0





      $begingroup$


      I don't understand a step in the proof of the Gauss-Markov theorem:
      proof



      Mainly, why can we simply replace y with e, given that y is defined as:
      y definition



      Thanks in advance!










      share|cite|improve this question









      $endgroup$




      I don't understand a step in the proof of the Gauss-Markov theorem:
      proof



      Mainly, why can we simply replace y with e, given that y is defined as:
      y definition



      Thanks in advance!







      matrices least-squares






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked yesterday









      ToTomToTom

      526




      526




















          0






          active

          oldest

          votes











          Your Answer





          StackExchange.ifUsing("editor", function ()
          return StackExchange.using("mathjaxEditing", function ()
          StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
          StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
          );
          );
          , "mathjax-editing");

          StackExchange.ready(function()
          var channelOptions =
          tags: "".split(" "),
          id: "69"
          ;
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function()
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled)
          StackExchange.using("snippets", function()
          createEditor();
          );

          else
          createEditor();

          );

          function createEditor()
          StackExchange.prepareEditor(
          heartbeatType: 'answer',
          autoActivateHeartbeat: false,
          convertImagesToLinks: true,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: 10,
          bindNavPrevention: true,
          postfix: "",
          imageUploader:
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          ,
          noCode: true, onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          );



          );













          draft saved

          draft discarded


















          StackExchange.ready(
          function ()
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3141031%2funclear-proof-in-the-gauss-markov-theorem%23new-answer', 'question_page');

          );

          Post as a guest















          Required, but never shown

























          0






          active

          oldest

          votes








          0






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes















          draft saved

          draft discarded
















































          Thanks for contributing an answer to Mathematics Stack Exchange!


          • Please be sure to answer the question. Provide details and share your research!

          But avoid


          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.

          Use MathJax to format equations. MathJax reference.


          To learn more, see our tips on writing great answers.




          draft saved


          draft discarded














          StackExchange.ready(
          function ()
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3141031%2funclear-proof-in-the-gauss-markov-theorem%23new-answer', 'question_page');

          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          Lowndes Grove History Architecture References Navigation menu32°48′6″N 79°57′58″W / 32.80167°N 79.96611°W / 32.80167; -79.9661132°48′6″N 79°57′58″W / 32.80167°N 79.96611°W / 32.80167; -79.9661178002500"National Register Information System"Historic houses of South Carolina"Lowndes Grove""+32° 48' 6.00", −79° 57' 58.00""Lowndes Grove, Charleston County (260 St. Margaret St., Charleston)""Lowndes Grove"The Charleston ExpositionIt Happened in South Carolina"Lowndes Grove (House), Saint Margaret Street & Sixth Avenue, Charleston, Charleston County, SC(Photographs)"Plantations of the Carolina Low Countrye

          random experiment with two different functions on unit interval Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern)Random variable and probability space notionsRandom Walk with EdgesFinding functions where the increase over a random interval is Poisson distributedNumber of days until dayCan an observed event in fact be of zero probability?Unit random processmodels of coins and uniform distributionHow to get the number of successes given $n$ trials , probability $P$ and a random variable $X$Absorbing Markov chain in a computer. Is “almost every” turned into always convergence in computer executions?Stopped random walk is not uniformly integrable

          How should I support this large drywall patch? Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern) Announcing the arrival of Valued Associate #679: Cesar Manara Unicorn Meta Zoo #1: Why another podcast?How do I cover large gaps in drywall?How do I keep drywall around a patch from crumbling?Can I glue a second layer of drywall?How to patch long strip on drywall?Large drywall patch: how to avoid bulging seams?Drywall Mesh Patch vs. Bulge? To remove or not to remove?How to fix this drywall job?Prep drywall before backsplashWhat's the best way to fix this horrible drywall patch job?Drywall patching using 3M Patch Plus Primer