Find a non-zero vector in each space












0












$begingroup$


The problem is given below:



enter image description here



My result regarding to question 1 is given below(Calculated in maple):



enter image description hereenter image description here



Then, my question is how to solve the question 2? I'm in doubt what even to do. Could someone explain me, what to do?










share|cite|improve this question









$endgroup$

















    0












    $begingroup$


    The problem is given below:



    enter image description here



    My result regarding to question 1 is given below(Calculated in maple):



    enter image description hereenter image description here



    Then, my question is how to solve the question 2? I'm in doubt what even to do. Could someone explain me, what to do?










    share|cite|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      The problem is given below:



      enter image description here



      My result regarding to question 1 is given below(Calculated in maple):



      enter image description hereenter image description here



      Then, my question is how to solve the question 2? I'm in doubt what even to do. Could someone explain me, what to do?










      share|cite|improve this question









      $endgroup$




      The problem is given below:



      enter image description here



      My result regarding to question 1 is given below(Calculated in maple):



      enter image description hereenter image description here



      Then, my question is how to solve the question 2? I'm in doubt what even to do. Could someone explain me, what to do?







      linear-algebra






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Apr 2 '16 at 21:16









      AdiTAdiT

      148119




      148119






















          1 Answer
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          $begingroup$

          The vectors that form a basis for the column space are certainly in the column space. You can choose one of these.






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            So would the result be [3 2 1]' ??
            $endgroup$
            – AdiT
            Apr 2 '16 at 21:50






          • 1




            $begingroup$
            It is one of many possible choices: anything in the span of the column space will do.
            $endgroup$
            – spinoza
            Apr 2 '16 at 22:46











          Your Answer





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          1 Answer
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          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          0












          $begingroup$

          The vectors that form a basis for the column space are certainly in the column space. You can choose one of these.






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            So would the result be [3 2 1]' ??
            $endgroup$
            – AdiT
            Apr 2 '16 at 21:50






          • 1




            $begingroup$
            It is one of many possible choices: anything in the span of the column space will do.
            $endgroup$
            – spinoza
            Apr 2 '16 at 22:46
















          0












          $begingroup$

          The vectors that form a basis for the column space are certainly in the column space. You can choose one of these.






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            So would the result be [3 2 1]' ??
            $endgroup$
            – AdiT
            Apr 2 '16 at 21:50






          • 1




            $begingroup$
            It is one of many possible choices: anything in the span of the column space will do.
            $endgroup$
            – spinoza
            Apr 2 '16 at 22:46














          0












          0








          0





          $begingroup$

          The vectors that form a basis for the column space are certainly in the column space. You can choose one of these.






          share|cite|improve this answer









          $endgroup$



          The vectors that form a basis for the column space are certainly in the column space. You can choose one of these.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Apr 2 '16 at 21:43









          spinozaspinoza

          41824




          41824












          • $begingroup$
            So would the result be [3 2 1]' ??
            $endgroup$
            – AdiT
            Apr 2 '16 at 21:50






          • 1




            $begingroup$
            It is one of many possible choices: anything in the span of the column space will do.
            $endgroup$
            – spinoza
            Apr 2 '16 at 22:46


















          • $begingroup$
            So would the result be [3 2 1]' ??
            $endgroup$
            – AdiT
            Apr 2 '16 at 21:50






          • 1




            $begingroup$
            It is one of many possible choices: anything in the span of the column space will do.
            $endgroup$
            – spinoza
            Apr 2 '16 at 22:46
















          $begingroup$
          So would the result be [3 2 1]' ??
          $endgroup$
          – AdiT
          Apr 2 '16 at 21:50




          $begingroup$
          So would the result be [3 2 1]' ??
          $endgroup$
          – AdiT
          Apr 2 '16 at 21:50




          1




          1




          $begingroup$
          It is one of many possible choices: anything in the span of the column space will do.
          $endgroup$
          – spinoza
          Apr 2 '16 at 22:46




          $begingroup$
          It is one of many possible choices: anything in the span of the column space will do.
          $endgroup$
          – spinoza
          Apr 2 '16 at 22:46


















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