## Matrix multiplication, MATLAB in Engineering

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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 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. #### 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: 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  