Matrix in reduced echelon form.











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I'm stuck on this one assignment where I can't seem to solve the problem. I'm supposed to solve the matrix first matrix that you can see in the picture (1,2,3,4 etc). But I'm stuck on the step after multiplying the second row with 1/3. I get 0 1 2 3 4, as I should, but on the next step I want to multiply the third row with 1/5, but the solution shows that the third row should be 0 0 0 0. How is that possible? Thanks in advance.



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    up vote
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    down vote

    favorite












    I'm stuck on this one assignment where I can't seem to solve the problem. I'm supposed to solve the matrix first matrix that you can see in the picture (1,2,3,4 etc). But I'm stuck on the step after multiplying the second row with 1/3. I get 0 1 2 3 4, as I should, but on the next step I want to multiply the third row with 1/5, but the solution shows that the third row should be 0 0 0 0. How is that possible? Thanks in advance.



    https://i.stack.imgur.com/HE041.png










    share|cite|improve this question


























      up vote
      -1
      down vote

      favorite









      up vote
      -1
      down vote

      favorite











      I'm stuck on this one assignment where I can't seem to solve the problem. I'm supposed to solve the matrix first matrix that you can see in the picture (1,2,3,4 etc). But I'm stuck on the step after multiplying the second row with 1/3. I get 0 1 2 3 4, as I should, but on the next step I want to multiply the third row with 1/5, but the solution shows that the third row should be 0 0 0 0. How is that possible? Thanks in advance.



      https://i.stack.imgur.com/HE041.png










      share|cite|improve this question















      I'm stuck on this one assignment where I can't seem to solve the problem. I'm supposed to solve the matrix first matrix that you can see in the picture (1,2,3,4 etc). But I'm stuck on the step after multiplying the second row with 1/3. I get 0 1 2 3 4, as I should, but on the next step I want to multiply the third row with 1/5, but the solution shows that the third row should be 0 0 0 0. How is that possible? Thanks in advance.



      https://i.stack.imgur.com/HE041.png







      matrices






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      edited Nov 13 at 16:46









      Bernard

      115k637108




      115k637108










      asked Nov 13 at 16:44









      Griezy

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          After you multiply the second row by $-1/3$, you obtain row $[0,1,2,3]$. After you multiply the third row by $-1/5$, you obtain again row $[0,1,2,3]$. Now subtract the second row from the third.






          share|cite|improve this answer





















          • So you can just subtract entire rows from each other? I had no idea. I just started linear algebra today.
            – Griezy
            Nov 13 at 16:56










          • Yes, or add a linear combination of rows to another row, or swap rows.
            – Bernard
            Nov 13 at 16:58










          • Thank you Bernard.
            – Griezy
            Nov 13 at 17:21










          • You're welcome! It's a pleasure to help.
            – Bernard
            Nov 13 at 17:32











          Your Answer





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          1 Answer
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          up vote
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          down vote



          accepted










          After you multiply the second row by $-1/3$, you obtain row $[0,1,2,3]$. After you multiply the third row by $-1/5$, you obtain again row $[0,1,2,3]$. Now subtract the second row from the third.






          share|cite|improve this answer





















          • So you can just subtract entire rows from each other? I had no idea. I just started linear algebra today.
            – Griezy
            Nov 13 at 16:56










          • Yes, or add a linear combination of rows to another row, or swap rows.
            – Bernard
            Nov 13 at 16:58










          • Thank you Bernard.
            – Griezy
            Nov 13 at 17:21










          • You're welcome! It's a pleasure to help.
            – Bernard
            Nov 13 at 17:32















          up vote
          -1
          down vote



          accepted










          After you multiply the second row by $-1/3$, you obtain row $[0,1,2,3]$. After you multiply the third row by $-1/5$, you obtain again row $[0,1,2,3]$. Now subtract the second row from the third.






          share|cite|improve this answer





















          • So you can just subtract entire rows from each other? I had no idea. I just started linear algebra today.
            – Griezy
            Nov 13 at 16:56










          • Yes, or add a linear combination of rows to another row, or swap rows.
            – Bernard
            Nov 13 at 16:58










          • Thank you Bernard.
            – Griezy
            Nov 13 at 17:21










          • You're welcome! It's a pleasure to help.
            – Bernard
            Nov 13 at 17:32













          up vote
          -1
          down vote



          accepted







          up vote
          -1
          down vote



          accepted






          After you multiply the second row by $-1/3$, you obtain row $[0,1,2,3]$. After you multiply the third row by $-1/5$, you obtain again row $[0,1,2,3]$. Now subtract the second row from the third.






          share|cite|improve this answer












          After you multiply the second row by $-1/3$, you obtain row $[0,1,2,3]$. After you multiply the third row by $-1/5$, you obtain again row $[0,1,2,3]$. Now subtract the second row from the third.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Nov 13 at 16:52









          Bernard

          115k637108




          115k637108












          • So you can just subtract entire rows from each other? I had no idea. I just started linear algebra today.
            – Griezy
            Nov 13 at 16:56










          • Yes, or add a linear combination of rows to another row, or swap rows.
            – Bernard
            Nov 13 at 16:58










          • Thank you Bernard.
            – Griezy
            Nov 13 at 17:21










          • You're welcome! It's a pleasure to help.
            – Bernard
            Nov 13 at 17:32


















          • So you can just subtract entire rows from each other? I had no idea. I just started linear algebra today.
            – Griezy
            Nov 13 at 16:56










          • Yes, or add a linear combination of rows to another row, or swap rows.
            – Bernard
            Nov 13 at 16:58










          • Thank you Bernard.
            – Griezy
            Nov 13 at 17:21










          • You're welcome! It's a pleasure to help.
            – Bernard
            Nov 13 at 17:32
















          So you can just subtract entire rows from each other? I had no idea. I just started linear algebra today.
          – Griezy
          Nov 13 at 16:56




          So you can just subtract entire rows from each other? I had no idea. I just started linear algebra today.
          – Griezy
          Nov 13 at 16:56












          Yes, or add a linear combination of rows to another row, or swap rows.
          – Bernard
          Nov 13 at 16:58




          Yes, or add a linear combination of rows to another row, or swap rows.
          – Bernard
          Nov 13 at 16:58












          Thank you Bernard.
          – Griezy
          Nov 13 at 17:21




          Thank you Bernard.
          – Griezy
          Nov 13 at 17:21












          You're welcome! It's a pleasure to help.
          – Bernard
          Nov 13 at 17:32




          You're welcome! It's a pleasure to help.
          – Bernard
          Nov 13 at 17:32


















           

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