What will be the minimum number of multiplication to multiply these matrices?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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subject : analysis of algorithm

Q.No.1:                                                                                                           Consider the following chain of matrices having matrices A, B, C and D. You have to consider the digits of your Registration Number in the order of the matrix as given. Add 2 to the digit if its zero.

For example, your Reg_No. 19-Arid-797 has last digit 7, 2nd last digit 9 and 3rd last digit 7.

A                                             B                                                      C                                                                            

2 X last digit       last digit X 2nd last digit           2nd last digit X 3nd last digit

D                                            

3rd Last digit X 4

What will be the minimum number of multiplication to multiply these matrices? Show the order of multiplication as well.                                                

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