Question: Demonstrate these four assertions to get an alternate proof that column rank equals row rank. (a) = 0 iff = .

Demonstrate these four assertions to get an alternate proof that column rank equals row rank.
(a) ∙ = 0 iff = .
(b) A = iff ATA = .
(c) dim(R(A)) = dim(R(ATA)).
(d) col rank(A) = col rank(AT) = row rank(A).

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