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3. (a) Prove the second part of the theorem from the (Sept. 23) notes: Theorem Let A = Mmxn : RM → RM. Then R(A)+ = N(AT). Hi

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Page: 1) ST let A = Marni R R - we prove R(A) = N(AT) where R(A) = column space of A = space span by columns of A NIA - null1I Page - so column space (A) = R(A) Spana 19:00) Al dim (R (A))=2 & R(A) S (R3 dim (R(A)=) = let RLADI - span { [ ] 4 > <1?),2I : N(AT) = d.& 1 ) : HERY 1 & R(AL NIA= RCAT3

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