(a) Prove 1ha1 ATA and A have the same null space. Hi11t:
Chapter , Problem 97(choose chapter or problem)
(a) Prove 1ha1 ATA and A have the same null space. Hi11t: Let v be a vector in 7?." such that AT Av = 0. Observe lhal ATAV V =AvAv = 0. (b) Usc (a) to prove that r.mk AT A = rank A.
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