Show that the jth column of the matrix product AB is equal to the matrix product ABj, where Bj is the jth column of B. I know this is true, but I'm not sure how to show it. Could someone please help me out? TIA!!!
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Originally Posted by TreeMoney Show that the jth column of the matrix product AB is equal to the matrix product ABj, where Bj is the jth column of B. I know this is true, but I'm not sure how to show it. Could someone please help me out? TIA!!! I would consider this to be more of a definition than something that needs to be proved. Let and be your matrices. Then by the definition of matrix multiplication: So the jth column vector in C is by definition. -Dan
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