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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen
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What is the best order to form the product ABCD if A, B,

Chapter 3, Problem 45E

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QUESTION:

What is the best order to form the product ABCD if A, B, C. and D are matrices with dimensions 30 × 10. 10 × 40. 40 × 50. and 50 × 30, respectively?.

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QUESTION:

What is the best order to form the product ABCD if A, B, C. and D are matrices with dimensions 30 × 10. 10 × 40. 40 × 50. and 50 × 30, respectively?.

ANSWER:

Solution Step 1 In this problem, we have to find the best order to form the product ABCD where A, B, C, and D are the matrices. Let us assume that a matrix of order 30 × 10, matrix B of order 10 × 40, matrix C of order 40 × 50 and matrix D of order 50 × 30 respectively. So, we have to use the multiplication property of matrices a × b and b × c is . Hence, we have few achievable condition to find the best order to form the product ABCD.A(BC)D(AD)(BC)(AB)(CD)(AC)(BD)B(AB)D((AB)C)D

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