Let A Rmn, B Rnr , and x, y Rn. Suppose that the product AxyTB is computed in the
Chapter 7, Problem 4(choose chapter or problem)
Let A Rmn, B Rnr , and x, y Rn. Suppose that the product AxyTB is computed in the following ways: (i) (A(xyT ))B (ii) (Ax)(yTB) (iii) ((Ax)yT )B (a) How many scalar additions and multiplications are necessary for each of these computations? (b) Compare the number of scalar additions and multiplications for each of the three methods when m = 5, n = 4, and r = 3. Which method is most efficient in this case?
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