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Math Formulas > Linear Algebra > Properties of Matrix Multiplication

Properties of Matrix Multiplication

If A, B and C are matrices with sizes such that the given matrix products are defined, then the following properties are true.

A(BC) = (AB)C

A
(B + C) = AB + AC

(A + C) ∙ C = AC + BC

c(AB) = (cA)B = A(cB)

where c is a scalar.

Notice that A∙BB∙A

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