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Quant版 - What is the relationship between the null space of A and A'A?
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1 (共1页)
s********g
发帖数: 189
1
有人知道A'A是什么么?A*A? A是矩阵
x******a
发帖数: 6336
2
A'= the transpose of A?
the null spaces should be the same?
Ax=0 => A'Ax=0 => Null(A)\subset Null (A'A)
A'Ay=0 => y'A'Ay=0, i.e, (Ay, Ay)=0 => Ay=0
=> Null(A'A)\subset Null(A).
s********g
发帖数: 189
3
veli, veli good
thanks a lot

【在 x******a 的大作中提到】
: A'= the transpose of A?
: the null spaces should be the same?
: Ax=0 => A'Ax=0 => Null(A)\subset Null (A'A)
: A'Ay=0 => y'A'Ay=0, i.e, (Ay, Ay)=0 => Ay=0
: => Null(A'A)\subset Null(A).

1 (共1页)
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