Determine the values of a, b for which the systems have (1) exactly one solution, (2) no solutions, (3)...












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I'll leave two pictures, can someone check if I'm right? (exercise b)
taskenter image description here






linear-algebra matrices systems-of-equations determinant







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    $begingroup$


    I'll leave two pictures, can someone check if I'm right? (exercise b)
    taskenter image description here






    linear-algebra matrices systems-of-equations determinant







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      $begingroup$


      I'll leave two pictures, can someone check if I'm right? (exercise b)
      taskenter image description here






      linear-algebra matrices systems-of-equations determinant







      share|cite|improve this question









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      I'll leave two pictures, can someone check if I'm right? (exercise b)
      taskenter image description here






      linear-algebra matrices systems-of-equations determinant




      linear-algebra matrices systems-of-equations determinant






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      asked Jan 16 at 19:29









      Aliaksei KlimovichAliaksei Klimovich

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          Your answer for no solution is incorrect. Note that you already found out that the system will have a unique solution iff $ane4$, regardless of the value of $b$. So the case $b=6,ane4$ gives a unique solution and has already been taken care of. You get no solution iff $a=4,bne6$.



          The others are correct.






          share|cite|improve this answer









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          • $begingroup$
            Ahh, yes, I did not mention this. Thanks
            $endgroup$
            – Aliaksei Klimovich
            Jan 16 at 20:01











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          $begingroup$

          Your answer for no solution is incorrect. Note that you already found out that the system will have a unique solution iff $ane4$, regardless of the value of $b$. So the case $b=6,ane4$ gives a unique solution and has already been taken care of. You get no solution iff $a=4,bne6$.



          The others are correct.






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            Ahh, yes, I did not mention this. Thanks
            $endgroup$
            – Aliaksei Klimovich
            Jan 16 at 20:01
















          1












          $begingroup$

          Your answer for no solution is incorrect. Note that you already found out that the system will have a unique solution iff $ane4$, regardless of the value of $b$. So the case $b=6,ane4$ gives a unique solution and has already been taken care of. You get no solution iff $a=4,bne6$.



          The others are correct.






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            Ahh, yes, I did not mention this. Thanks
            $endgroup$
            – Aliaksei Klimovich
            Jan 16 at 20:01














          1












          1








          1





          $begingroup$

          Your answer for no solution is incorrect. Note that you already found out that the system will have a unique solution iff $ane4$, regardless of the value of $b$. So the case $b=6,ane4$ gives a unique solution and has already been taken care of. You get no solution iff $a=4,bne6$.



          The others are correct.






          share|cite|improve this answer









          $endgroup$



          Your answer for no solution is incorrect. Note that you already found out that the system will have a unique solution iff $ane4$, regardless of the value of $b$. So the case $b=6,ane4$ gives a unique solution and has already been taken care of. You get no solution iff $a=4,bne6$.



          The others are correct.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Jan 16 at 19:44









          Shubham JohriShubham Johri

          5,186717




          5,186717












          • $begingroup$
            Ahh, yes, I did not mention this. Thanks
            $endgroup$
            – Aliaksei Klimovich
            Jan 16 at 20:01


















          • $begingroup$
            Ahh, yes, I did not mention this. Thanks
            $endgroup$
            – Aliaksei Klimovich
            Jan 16 at 20:01
















          $begingroup$
          Ahh, yes, I did not mention this. Thanks
          $endgroup$
          – Aliaksei Klimovich
          Jan 16 at 20:01




          $begingroup$
          Ahh, yes, I did not mention this. Thanks
          $endgroup$
          – Aliaksei Klimovich
          Jan 16 at 20:01


















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