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Consider product of three matrices  M1​ , M2​  and  M3​  having w rows and x ...

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Consider product of three matrices M subscript 1M1​,M subscript 2M2​ and M subscript 3M3​ having w rows and x columns, x rows and y columns, and y rows and z columns. Under what condition will it take less time to compute the product as left parenthesis M subscript 1 M subscript 2 right parenthesis M subscript 3(M1​M2​)M3​ than to compute M subscript 1 left parenthesis M subscript 2 M subscript 3 right parenthesisM1​(M2​M3​) ?

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