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(of matrices)

Let A and B be m×n matrices, with A=[aij] and B=[bij]. The operation of addition is defined by taking the sum A+B to be the m×n matrix C, where C=[cij] and cij=aij+bij. The sum A+B is not defined if A and B are not of the same order. This operation+of addition on the set of all m×n matrices is associative and commutative.

Subjects: Mathematics.

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