Guided Proof Prove that if the product AB is a

Chapter 2, Problem 2.1.74

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Guided Proof Prove that if the product AB is a squarematrix, then the product BA is defined. Getting Started: To prove that the product BA isdefined, you need to show that the number of columnsof B equals the number of rows of A.(i) Begin your proof by noting that the number ofcolumns of A equals the number of rows of B.(ii) Then assume that A has size m n and B has sizen p.(iii) Use the hypothesis that the product AB is asquare matrix.

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