Question: dynamic programming The principle of optimality The dynamic programming equation The knapsack problem Question 2. Let A1, . . . , An be matriceswith A;

dynamic programming

The principle of optimality

The dynamic programming equation

The knapsack problem

Question 2. Let A1, . . . , An be matriceswith A; havingki_1 rowsand k; columns tori = 0,1, 2, . . . , n. and some positive integers kg, k1 , . . . , kn. The problem is to choose the order of multiplying the matrices that will minimize the number of multiplications needed to compute the product A1 A2 - - - A". {Q23} Formulate a dynamic programming problem to determine the optimal order in which to multiply the matrices. Clearly formulate the dynamic programming equation. {22.13} Solve the problem numerically, when n = 4 and (kg, 161, . . . , k4) = {1!}, 30, 70, 2, 100)

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