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Why is that Nullspace of A is subset of nullspace of A^T*A

  1. Nov 20, 2012 #1
    Why is that Nullspace of A is subset of nullspace of A^T*A
    let's say that A is m*n matrix
     
  2. jcsd
  3. Nov 20, 2012 #2

    lurflurf

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    Suppose
    X is the null space of A
    AX=0
    then clearly
    A^T*AX=A^T0=0
    X may not be the whole null space of A^T
     
  4. Nov 20, 2012 #3
    Thanks
     
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