Show matrix multiplication problem, Computer Engineering

Assignment Help:

Q. Show Matrix Multiplication Problem?

Let there be 2 matrices M1 and M2 of sizes a x b and b x c correspondingly. If we multiply M1 and M2 product matrix O will be of size a x c. 

The values of elements which are stored in the matrix O are in proportion to the subsequent formula:

       Oij = Summation x of (M1ix * M2xj) x=1 to b, where 1

Remember for multiplying a matrix M1 with other matrix M2 number of columns in M1 should be equal to number of rows in M2. The renowned matrix multiplication algorithm on sequential computers occupies O(n3) running time. For multiplication of two 2x2 matrices the algorithm needs 8 multiplication and 4 addition operations. One other algorithm known as Strassen algorithm has been worked out that requires 7 multiplication and 14 addition or subtraction operations. Time complexity of Strassen's algorithm is O(n2.81). The fundamental sequential algorithm is explained below:

Algorithm: Matrix Multiplication

Input// Two Matrices M1 and M2

 For I=1 to n

      For j=1 to n

        {

               Oij = 0;

               For k=1 to n

                    Oij= Oij + M1ik * M2kj

               End For

       } 

      End For 

End For


Related Discussions:- Show matrix multiplication problem

What is decision support system and describe its components, Q. What is a D...

Q. What is a DSS and Describe its components? A decision support system (DSS) is a highly flexible and interactive IT system that is designed to support decision making when t

Acting rationally - artificial intelligence, Acting Rationally: "Al" C...

Acting Rationally: "Al" Capone was finally convicted for tax evasion. Were the police reacting on rationally?? To solve this puzzle, we must first look at how the performance

A function declaration and function definition, Explain the difference betw...

Explain the difference between a function declaration and function definition.    Function declaration and Function definition:  A function declaration having the name of th

Explain handlers classification, Handlers Classification In 1977, Wolfg...

Handlers Classification In 1977, Wolfgang Handler suggested a complex notation for representing the pipelining and parallelism of computers. Handler's categorization addresses

Representation scheme in artificial intelligence, Representation scheme in ...

Representation scheme in artificial intelligence: It is not hard to see why logic has been popular representation scheme in AI: In this way, It is easy to represent knowl

Estimate the circuit switched network, a) Total available bandwidth = 1 Mbp...

a) Total available bandwidth = 1 Mbps = 1000 Kbps Each user requires send data at the rate of = 500 kbps As it is circuit switched network we have to dedicate the bandwidth So the

Credit line, The Credit Line The Credit Line is a set of informational f...

The Credit Line The Credit Line is a set of informational facts usually found below or beside a picture of a work of art. Should the picture appear in a book, magazine, poster,

Find max conversion time of 6-bit dual slope A/D converter, A 6-bit Dual Sl...

A 6-bit Dual Slope A/D converter uses a reference of -6V and a 1 MHz clock. It uses a fixed count of 40 (101000). Find Maximum Conversion Time.         Ans. The time T 1 specifie

How do you add a developer to a trusted publishers list, Whenever a develop...

Whenever a developer is signing into the code project you will have three options they are disable the macro, enable the macro and explicitly trusting the publisher. You can trust

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd