Let A be an m x n matrix. Show that (a) If x N(ATA), then Ax
Question:
(a) If x ∈ N(ATA), then Ax is in both R(A) and N(AT).
(b) N(ATA) = N(A).
(c) A and ATA have the same rank.
(d) If A has linearly independent columns, then ATA is nonsingular.
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a Ax RA for all vectors x in R n If x NA T A then A T Ax 0 and h...View the full answer
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