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Jp Consider linear maps:A:R n R m ,B:R m R q and C :R p R n . Suppose thatBis injective, andCis surjective. Show that:

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Consider linear maps:A:RnRm,B:RmRqandC:RpRn. Suppose thatBis injective, andCis surjective. Show that: 1.N(BA)=N(A), whereNrepresents the nullspace 2.R(AC)=R(A), whereRrepresents the range

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