Question: Prove that, for any matrix A R m,n , it holds that N (ATA) R(ATA) || || N(A) R(AT).

Prove that, for any matrix A ∈ Rm,n, it holds that

N (ATA) R(ATA) || || N(A) R(AT).

N (ATA) R(ATA) || || N(A) R(AT).

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