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Assume That the Number of Multiplications of Entries Used to Multiply

question 25

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assume that the number of multiplications of entries used to multiply a p × q and a q × r matrix is
pqr.
-What is the most efficient way to multiply the matrices A1,A2,A3 of sizes 10×50,50×10,10×40 ? \mathbf { A } _ { 1 } , \mathbf { A } _ { 2 } , \mathbf { A } _ { 3 } \text { of sizes } 10 \times 50,50 \times 10,10 \times 40 \text { ? }


Definitions:

Free Will

The power of acting without the constraint of necessity or fate; the ability to act at one's own discretion.

Status Quo Bias

The preference for the current state of affairs, where changes are perceived as losses rather than gains, leading to resistance to change.

Temporal Discounting

The devaluation of future rewards or outcomes in favor of immediate benefits, reflecting an individual's preference for short-term gratification.

Certainty Effect

The tendency for people to give greater weight to outcomes that are certain, compared to outcomes that are only probable.

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