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並前往https://math.stackexchange.com/questions/284043/centre-of-a-matrix-ring-are-operatornamediag-a-a-a-with-a-i

Centre of a matrix ring are diag{a,a,...,a} with a∈Z(R) [duplicate]

Let Eij be the matrix whose i,j entry is 1, and all other entries are 0. Then the equations EiiA=AEii. for 1≤i≤n implies that A is necessarily diagonal.

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