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

  • Thread starter iamzzz
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Why is that Nullspace of A is subset of nullspace of A^T*A
let's say that A is m*n matrix
 

lurflurf

Homework Helper
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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
 
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Thanks
 

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