Matrix multiplication, MATLAB in Engineering

Assignment Help:

Matrix Multiplication:

The Matrix multiplication does not mean multiplying term by term; and it is not an array operation. The Matrix multiplication has a very particular meaning. First of all, in order to multiply a matrix A by a matrix B to answer in a matrix C, the number of columns of A should be similar to the number of rows of B. If the matrix A has dimensions m × n that means that matrix B should have dimensions n × something; and we'll call it p. We say that the inner dimensions should be similar. The resultant matrix C has similar number of rows as A and similar number of columns as B (in another words, the outer dimensions m × p). In mathematical notation, [A]m x n [B]n x p = [C]m x p. This only defines the size of C.

The elements of the matrix C are defined as the addition of products of corresponding elements in the rows of A and columns of B, or in another words

2022_Matrix Multiplication.png

In the example below, A is 2 × 3 and B is 3 × 4 therefore C will be 2 × 4. The elements in C are acquired by using the summation. The first row of C is obtained by using the first row of A and in succession the columns of B. For illustration, C(1,1) is 3 * 1 +  8 * 4  + 0 * 0 or 35. C(1,2) is 3 * 2  + 8 * 5  + 0 *2 or 46.

2365_Matrix Multiplication1.png


Related Discussions:- Matrix multiplication

Example of interpolation and extrapolation, Example of Interpolation and ex...

Example of Interpolation and extrapolation: The MATLAB has a function to do this, known as polyfit. The function polyfit finds the coefficients of the polynomial of the partic

Print from the structure, Print from the structure: To print from the ...

Print from the structure: To print from the structure, a disp function will show either the whole structure or a field. >> disp(package) item_no: 123 cost: 19.99

Example of exponential function modular program, Example of Exponential fun...

Example of Exponential function modular program: In order to view the distinction in the approximate value for e as n increases, the user kept choosing Limit & entering larger

Help command, Help command: The help command is used with the script r...

Help command: The help command is used with the script rectarea, the function readlenwid, and the major function printrectarea. To see the first comment in the subfunction, as

Function imread - image processing, function imread: The function imre...

function imread: The function imread can read an image file, for illustration a JPEG (.jpg) file. The function reads color images into a 3-dimensional matrix. >> myimage1

Ischar function - string, ischar function: The ischar function return ...

ischar function: The ischar function return the logical true if an array is a character array, or logical false if not. >> vec = 'EK127'; >> ischar(vec) ans =

Illustration of if - else statement, Illustration of if - else statement: ...

Illustration of if - else statement: The one application of an if-else statement is to check for errors in the inputs to a script. For illustration, a former script prompted t

Anonymous functions, Anonymous Functions: The anonymous function is a ...

Anonymous Functions: The anonymous function is a very easy, one-line function. The benefit of an anonymous function is that it does not have to be stored in an M-file. This ca

Example exit modular program, Example Exit modular program: In the ill...

Example Exit modular program: In the illustration below, the user  Chose the Limit; -   Whenever prompted for n, entered the two invalid values before finally ente

Simplification functions, Simplification Functions: There are numerous...

Simplification Functions: There are numerous functions which work with expressions, and simplify the terms. Not all the expressions can be simplified, but the simplify functio

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