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Non-singular multilinear forms and certain ๐‘-way matrix factorizations

Non-singular multilinear forms and certain ๐‘-way matrix factorizations

Introduction.Let there be given a p-way matrix A = (ยซ<,...<,), ii, โ€ข โ€ข โ€ข , iP = l, โ–  โ–  โ–  , n.The operation which takes A into A' = (ail...ipbilil), where B = (bivi) is a non-singular 2-way matrix and the repeated index indicates summation, is called a non-singular โ€ฆ