# 2.2 - Section 2.2 Matrix Multiplication Definition of...

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Section 2.2 Matrix Multiplication Definition of Matrix Multiplication : Let () ij A a = be an mXn matrix and ij B b = be an rXs matrix. If nr = then AB is an mXs matrix whose ijth entry is (AB) ij = a i1 b 1j + a i2 b 2j + . .. + a in b nj 12 ii i n aa a    1 2 j j nj b b b " ij AB = If then AB is not defined. AB mn rs AB m s ×× ×

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Properties: If r is a scalar, A is mXn, B is nXp and C is pXq, (AB)C = A(BC) Associative Property of Multiplication r(AB) = (rA)B = A(rB) Associative/Commutative Property of Multiplication of Real Numbers
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2.2 - Section 2.2 Matrix Multiplication Definition of...

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