Introduction to matlab array | You're just learning (2023)

What is a Matlab matrix?

In Matlab, a matrix is ​​a type of variable mainly used for mathematical calculations. This allows you to work efficiently and quickly with matrix calculations. As mentioned in the introduction, a matrix is ​​a two-dimensional array in linear algebra related to analysis.

MATLAB has several built-in functions that you can use to create arrays and then assign values ​​to them. Matlab software also supports various mathematical and trigonometric calculations. Matlab arithmetic operations on matrices include addition, subtraction, and multiplication. It also provides inverse operations for tan, cosec, sin, cos, sec, cot and sin. Complex procedures for calculating numbers and joining two array values ​​are also supported.

Create a Matlab matrix

You can create a matrix by entering the terms in each row as commas or numbers, separated by a space, and using a semicolon to mark the end of each row.

Example: To create an array with three elements in a row, separate the elements with a comma (,) or a space.

a= [1, 2, 3, 4]

A reference to the elements of the array

The following code applies to the element in the nth column and mth row of the mx matrix:

mx(m,n);

For example, to refer to the element ay above, which is in the fifth column and second row of a, you could write it like this:

one (2.5);

Delete a row or column in an array

To remove an entire row or column from an array, simply enclose it in a pair of empty square brackets [ ]. Basically [ ] represents an empty string.

Example:

Let's remove the fourth line from -

one = [1 2 3 4 5; 2 3 4 5 6 ; 3 4 5 6 7; 4 5 6 7 8]

one(4, :) = []

The above command is executed by MATLAB and the following result is returned:

one = [1 2 3 4 5; 2 3 4 5 6 ; 3 4 5 6 7; ]

(Simplifying, the fourth row is completely removed from the matrix)

Matrix addition and subtraction

Adding and subtracting numbers is an important function often performed in MATLAB.

Note: Remember that both arrays of arguments must necessarily have the same number of rows and columns.

First you need to create an array and then apply values ​​to it.

one = [1 2 3; 4 5 6; 7 8 9]; b = [7 5 6; 2 0 8; 5 7 1];

Now write the following command to add the two matrices a and b on top:

do = a + b

d = a - b

When run, the file generates the following output:

c = [8 7 9; 6 5 14 ; 12 15 10]

d = [-6 -3 -3; 2 5 -2; 2 1 8]

Matrix decomposition

After addition and subtraction, let's see how easy it is to split two arrays of operands in MATLAB. You can use the left (\) and right (/) division operators to divide two matrices.

Note: Remember that both arrays of arguments must have the same number of rows and columns.

To get started, write the following code in your script file. Basically you create two arrays and then assign values ​​to them.

one = [1 2 3; 4 5 6; 7 8 9]; b = [7 5 6; 2 0 8; 5 7 1];

Now, if you want to split these two arrays, write the code below:

c = a/b

d = a \ b

When run, the file generates the following output:

c =

-0,52542 0,68644 0,66102

-0,42373 0,94068 1,01695

-0,32203 1,19492 1,37288

d =

-3,27778 -1,05556 -4,86111

-0,11111 0,11111 -0,27778

3,05556 1,27778 4,30556

Operations on scalar matrices

Scalar operations are defined as operations that generate a new matrix with the same number of rows and columns as the original matrix by adding, subtracting, multiplying, or dividing each element of the original matrix by a number.

A scalar operation is generally used when you want to add, subtract, multiply, or divide an array of numbers. To sum upencodeadd, subtract, multiply and divide commands are below:

do = a + b

d = a - b

e = a * b

f = a/b

Transpose matrix

When you perform a transpose on a matrix, the rows and columns are shifted. It is denoted by single quotation marks (').

Example:

Create a script file with the following code:

one = [10 12 23; 14 8 6; 27 8 9]

When you run the file, you'll see the following output: b = a'

one =

10 12 23

14 8 6

27 8 9

b =

10 14 27

12 8 8

23 6 9

Matrix merging

The primary purpose of combining two matrices is to get a larger matrix containing all the elements of the two matrices. Thestring operatoris represented by square brackets "[ ]".

MATLAB supports two types of links.

Connect horizontally

When you join two arrays separated by commas, they are just joined horizontally. This is known as horizontal merging.

Example c = [a, b]

Vertical setting

Alternatively, if two matrices are joined by semicolons, they are added vertically. Vertical chaining is the term for this process.

Example: c = [one; B]

Matrix multiplication

Multiplication is one of the most important concepts to understand in MATLAB. Consider two matrices A and B. Consider the m x n matrix A and the n x p matrix B. Recall that you can multiply these two matrices to get the m x p matrix C. Matrix multiplication is only possible if the number of columns n in A is equal to the number of rows n in B .

Remember: in matrix multiplication, the elements of the first rows of the matrix are multiplied by the elements of the columns of the second matrix.

The * operator is used in MATLAB for matrix multiplication.

Example: You can write and test the following script:

one = [ 1 2 3; 2 3 4; 1 2 5]

b = [ 2 1 3 ; 5 0-2; 2 3 -1]

product = a * b

When you write this code base, you will get the following output:

article =

18 10 -4

27 14 -4

22 16 -6

Determining matrix

The det function in MATLAB is used to determine the determinant of a matrix. Det is the determinant of matrix A.

Example:

Create a script file with the following code:

one = [ 1 2 3; 2 3 4; 1 2 5]

do a)

When you write this code base, you will get the following output:

one =

1 2 3

2 3 4

1 2 5

odp. = -2

Inverted Matlab matrix

A1 is the inverse of the matrix A, so there is the relationship:

AA-1 = A-1A = 1

The inverse of a matrix does not necessarily exist. If the determinant of a matrix is ​​0, then the inverse does not exist and the matrix is ​​singular.

The inv function in MATLAB is used to determine the inverse of a matrix. inv is the inverse of matrix A.

one = [ 1 2 3; 2 3 4; 1 2 5]

inw(a)

When you write this code base, you will get the following output:

one =

1 2 3

2 3 4

1 2 5

odp =

-3,5000 2,0000 0,5000

3,0000 -1,0000 -1,0000

-0,5000 0 0,5000

Frequently asked questions

1. How can we create a matrix in MATLAB?

To create an array of three items in a row, separate the items with a comma (,) or a space.

2. What is the matrix command in MATLAB?

A scalar function that translates one matrix to another is called a matrix statement.

3. How to enter a 3x3 matrix in MATLAB?

For example, define a 3x3 matrix as the first side of a 3D array. Now add the other side. To do this, assign another 3x3 matrix to the index value 2 in the third dimension.

4. What is a matrix used for in MATLAB?

The word matrix is ​​used in the MATLAB environment to refer to a variable containing real or complex values ​​organized in a two-dimensional grid. In general, an array is a vector, matrix, or multidimensional array of integers.

5. How to write a matrix?

Separate the components with a comma (,) or a space to create an array with three elements in the array.

6. How to write a matrix of variables in MATLAB?

To write an array of variables in MATLAB, you need to know the concept of symbolic arrays.

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Application

Addition and subtraction are easy in matrix arithmetic, but multiplication is hard. MatLab simplifies this process because MatLab is specifically designed for matrix operations. MatLab supports all operations, including addition, trigonometric functions, subtraction, multiplication, matrix transposition, cross multiplication, complex numbers, matrix inverse, etc. You will quickly master all these functions. Check out oursMaster's degree in data analyticsto learn more about it.