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Checking Matrix Multiplication three nxn matrices A,B,C: A X B 是 C best matrix multiplication algorithm:O(n2.373) Freivald's Algorithm pick a uniform random r E0,1)"; check whether A(Br)=Cr; time:O(n2) if AB =C,always correctbest matrix multiplication algorithm: Checking Matrix Multiplication A × B = C ? three n×n matrices A, B, C: Freivald’s Algorithm pick a uniform random r ∈{0,1}n; check whether A(Br) = Cr ; time: O(n2) if AB = C, always correct O(n2.373)
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