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Question: can someone help me with this proof please...

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11 12 d1n 21 a22... a2rn with a, ks E R and At the n × m transpose matrix of A. Consider the linear transformation TA : R-R defined as We recall that (i) if 31, 22 R are column vectors, then their inner product is (ii) (AB)t BtAt for matrices A. B for which the product AB makes sense Combining these one can show that Ker(TA) (Image(TAIage(TA(Ker(TA)) (review the proof, just review it) Also if V is a sub-space a finite dimensional vector space E, then dim(V) + dim(V ) = dim(E). (review the proof, just review it). Combining the above results prove that Rank(A) dim(Image(TA)-Rank(A) Ξ dim(Image(TA))Can someone help me with this proof please?

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