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

Defined a variable in work space, Defined a variable in work space: Th...

Defined a variable in work space: The variables defined in the script will become a part of the workspace: >> clear >> who >> mysummfile    15 >> who

Finding products by for loop, Finding products by for loop: an illustr...

Finding products by for loop: an illustration, when 5 is passed to be the value of the input argument n, the function will compute and return 1 + 2 + 3 + 4 + 5, or 15: >> s

Str2num function - string, str2num function - String: The function str2...

str2num function - String: The function str2num does the opposite; it takes the string in which a number is stored and converts it to the type double: >> num = str2num('123.

Implementation of binary search, Implementation of binary search: The ...

Implementation of binary search: The binary search can be implemented as a recursive function. The recursive function below also implements this binary search algorithm. It re

Passing arguments to functions, Passing arguments to functions: In all...

Passing arguments to functions: In all these functions examples faraway, at least one of the arguments was passed in the function call to be the value(s) of the equivalent inp

Example to change the line width from the default, Example to change the li...

Example to change the line width from the default: For illustration, to change the line width from the default of 0.5 to 1.5: >> set(hl,'LineWidth',1.5) As long as the

Function fieldnames - structure functions, Function fieldnames - structure ...

Function fieldnames - structure functions: The function fieldnames will return the names of the fields which are contained in the structure variable. >> pack_fields = fiel

Plotting from a function, Plotting from a Function: The following func...

Plotting from a Function: The following function creates a Figure Window as shown in figure, which shows various types of plots for similar y vector. The vector is passed as a

Creating a cell array - assign values to array, Creating a cell array: ...

Creating a cell array: The other method of creating a cell array is easy to assign values to particular array elements and build it up element by element. Though, as explained

Execution steps - modular program, Execution steps: Whenever the progr...

Execution steps: Whenever the program is executed, the steps below will take place: The script calcandprintarea starts executing. The calcandprintarea calls the readr

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