Assume That the Number of Multiplications of Entries Used to Multiply

question 54

Essay

assume that the number of multiplications of entries used to multiply a p × q and a q × r matrix is pqr.
-What is the best order to form the product ABC if A, B and C are matrices with dimensions 8 × 3, 3 × 6 and 6 × 12, respectively?

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Definitions:

Price of Capital

The cost of using capital goods, such as equipment or buildings, which is often reflected in interest rates or rental charges.

Complementary to Labor

Refers to technology or tools that enhance the productivity of workers, increasing output.

Rapidly Declining Occupations

Jobs or professions experiencing a significant decrease in demand, often due to technological advancements, economic shifts, or changes in consumer preferences.

Output Effect

The output effect is the change in total revenue resulting from selling additional units of a product, considering the impact on price due to supply and demand.