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Consider the matrices P, Q, R and S which are 20 x 15, 15 x 30, 30 x 5 and 5 x 40 matrices respectively. What is the minimum number of multiplications required to multiply the four matrices?

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in Data Structures & Algorithms II by (76.6k points)
Consider the matrices P, Q, R and S which are 20 x 15, 15 x 30, 30 x 5 and 5 x 40 matrices respectively. What is the minimum number of multiplications required to multiply the four matrices?

(a) 6050

(b) 7500

(c) 7750

(d) 12000

I had been asked this question in semester exam.

My question comes from Matrix-chain Multiplication in division Dynamic Programming of Data Structures & Algorithms II

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Best answer
Correct answer is (c) 7750

Best explanation: The minimum number of multiplications required is 7750.

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