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What is the best order to form the product ABC if A, B,

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 44E Chapter 3.3

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 44E

What is the best order to form the product ABC if A, B, and C are matrices with dimensions 3 × 9. 9 × 4. and 4 × 2. respectively?

Step-by-Step Solution:

Solution Step 1 In this problem, we have to find the best order to form the product ABC where A, B, and D are the matrices. Let us assume that a matrix A of order 3 × 9, matrix B of order 9 × 4 and matrix C of order 4 × 2 respectively. So, we have to use the multiplication property of matrices a × b and b × c is abc. Hence, we have few achievable condition to find the best order to form the product ABC(AB)CA(BC)(AC)BB(AC)C(AB)(BC)A Now, we have to compute a number of ways of multiplication.

Step 2 of 76

Chapter 3.3, Problem 44E is Solved
Step 3 of 76

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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What is the best order to form the product ABC if A, B,