When product of matrix and vector equals 0, why does product of matrix, it's transpose and vector also equals...












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I've got a matrix A and a vector s



When Av = 0, why does A*As = 0 and also s*A*As = 0?



A* is transposed matrix A.










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    0












    $begingroup$


    I've got a matrix A and a vector s



    When Av = 0, why does A*As = 0 and also s*A*As = 0?



    A* is transposed matrix A.










    share|cite|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      I've got a matrix A and a vector s



      When Av = 0, why does A*As = 0 and also s*A*As = 0?



      A* is transposed matrix A.










      share|cite|improve this question









      $endgroup$




      I've got a matrix A and a vector s



      When Av = 0, why does A*As = 0 and also s*A*As = 0?



      A* is transposed matrix A.







      linear-algebra






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      asked Jan 21 at 0:24









      skluzadaskluzada

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          $begingroup$

          Just replace the hypothesis $A s = 0$ in each of the expressions you ask about.






          share|cite|improve this answer









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            1 Answer
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            1 Answer
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            active

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            active

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            $begingroup$

            Just replace the hypothesis $A s = 0$ in each of the expressions you ask about.






            share|cite|improve this answer









            $endgroup$


















              0












              $begingroup$

              Just replace the hypothesis $A s = 0$ in each of the expressions you ask about.






              share|cite|improve this answer









              $endgroup$
















                0












                0








                0





                $begingroup$

                Just replace the hypothesis $A s = 0$ in each of the expressions you ask about.






                share|cite|improve this answer









                $endgroup$



                Just replace the hypothesis $A s = 0$ in each of the expressions you ask about.







                share|cite|improve this answer












                share|cite|improve this answer



                share|cite|improve this answer










                answered Jan 21 at 0:42









                JaviJavi

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