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Math Help - a simple matrix question

  1. #1
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    a simple matrix question

    if norm(AX)>=c*norm(X), for all X in Rn, and c>0
    then how to get: if AX=0, then X=0??
    thanks!!!
    I got it , sorry for bothering
    Last edited by violetsf; October 31st 2007 at 05:59 PM.
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  2. #2
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    Quote Originally Posted by violetsf View Post
    if norm(AX)>=c*norm(X), for all X in Rn, and c>0
    then how to get: if AX=0, then X=0??
    thanks!!!
    I got it , sorry for bothering
    norm(AX) >= c*norm(X) >= 0 because c>0 and norm(X)>=0.
    So if AX=0 then 0>= c*norm(X) >= 0.
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