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18 August, 00:54

Deterime the minimum number of multiplication operations needed to compute the following. Show the order of the computations.

A1 (3x7) X A (7X30) X A3 (30X2) X A4 (2X10) X A5 (10X30)

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  1. 18 August, 04:08
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    The minimum umber of multiplication operations needed to compute is 1242.

    Explanation:

    Solution

    Given that:

    Now,

    (A1 * (A2*A3)) * (A4A5)

    Thus

    A2*A3 = 7*30*2 = 420 operations. It will create 7*2 matrix.

    A1 * (A2*A3) = 3*7*2 = 42 operations. It will create 3*2 matrix

    A4*A5 = 2*10*30 = 600 Operations. It will create 2*30 matrix.

    (A1 * (A2*A3)) * (A4A5) = 3*2*30 = 180 operations. It will create 3*30 matrix

    Hence

    The total number of multiplications are is given below

    420+42+600+180 = 1242
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