Latex Matrix

Latex Matrix




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Matrix in LaTeX How to create matrix in LaTeX? Spacing in a matrix







\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\begin{document}
$$
\begin{bmatrix}
a & b & c \\
c & d & d\\
e & f & g \\
\end{bmatrix}
\quad
$$
\end{document}







\documentclass{article}
\usepackage{amsmath}
\begin{document}
Default:
\[
\left[
\begin{array}{ccc}
\dfrac{5}{6} & \dfrac{1}{6} & 0 \\
\dfrac{5}{6} & 0 & \dfrac{1}{6} \\
0 & \dfrac{5}{6} & \dfrac{1}{6}
\end{array}
\right]
\]
\renewcommand{\arraystretch}{2.5}
Stretched:
\[
\left[
\begin{array}{ccc}
\dfrac{5}{6} & \dfrac{1}{6} & 0 \\
\dfrac{5}{6} & 0 & \dfrac{1}{6} \\
0 & \dfrac{5}{6} & \dfrac{1}{6}
\end{array}
\right]
\]
\end{document}




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Table of contents

Matrix in LaTeX How to create matrix in LaTeX? Spacing in a matrix







Table of contents and list of Figures

A matrix can be described as a rectangular array of numbers, symbols or expressions that are arranged in rows
and columns. A matrix in LaTeX can be generated with the help of a math environment for typesetting
matrices. In this tutorial, we will discuss how to generate a matrix and make amendments with regard to the
brackets.
For generating matrix in LaTeX we have to use the package amsmath by giving the command \usepackage{amsmath} .

There can be various types of brackets to use in a matrix. Some of them are discussed below:
\begin{matrix} : This command creates a matrix without brackets or boundaries.
\begin{pmatrix} : This command creates a matrix with brackets or parenthesis.
\begin{bmatrix} : This command creates a matrix with square brackets or
boundaries.
\begin{Bmatrix}: This command creates a matrix with curly brackets or
boundaries.
\begin{vmatrix}: This command creates a matrix with a rectangular line boundary.

\begin{Vmatrix} : This command creates a matrix with double vertical bar brackets or
boundaries.
A matrix can face alterations in spacing as we can give more distance between elements. The following code
can demonstrate how:


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Matrices is ​​an array and table where numbers, symbols, and expressions are arranged along the row and column according to the sequence. And these numbers, symbols, and expressions are called elements of the matrix.
Before defining a matrix in latex, you need to understand the structure of the matrix well.
1 First, to define a matrix in latex, you need to create a matrix environment.
matrix is ​​passed as an argument between \begin and \end commands. And this argument indicates that the matrix will be bound by which bracket? So, there is more than one argument to define more than one brackets.
2 Second, you need to create rows and columns according to your needs.
& and \\ symbols are used to arrange elements along rows and columns sequentially in a matrix environment. This & symbol arranges the elements of the matrix individually along the row. And \\ symbol creates a new column.
3 Third, the elements of the matrix must be inserted sequentially into the matrix environment. Which will be separated by the & symbol along the row.
And in latex, you can define a complete matrix with the help of the above three steps.
For example, look at the following square matrix.
The matrix is ​​not specified by default in latex. For this, you need to install the external package amsmath .
The arranged elements of the matrix are bound by different brackets and no brackets are given on either side of some matrix.
And the arranged elements of the matrix will be bound by brackets depending on the argument. So, take a look at this table below
If the matrix is ​​not bound by a bracket. In that case, the matrix must be passed as an argument within the matrix environment.
If the matrix is ​​surrounded by parenthesis. Then you need to use pmatrix as an argument.
If the matrix is ​​surrounded by a square bracket. Then you need to pass bmatrix between begin and end command as an argument.
Bmatrix should also be used in the case of curly brackets. Latex is a case-sensitive language. In latex, capital letters and small letters are not the same things. Bmatrix and bmatrix are two different arguments for this in latex.
You all know when the value of a matrix is ​​determined. In that case, both sides of the matrix are bounded by vertical bars. For this vertical bar, you need to pass the vmatrix argument.
You have noticed that double vertical bars are used on both sides of the matrix. And use Vmatrix as an argument where V will be capital.
If you look at the above programs, you can easily understand which argument is used for which bracket!
The matrix is ​​divided into different types according to the position of the elements in the matrix.
In this case, you need to take an equal number of rows and columns. Because the number of rows and columns of the square matrix is ​​equal.
In the case of zero matrix, all the elements of the matrix will be zero.
The elements of the diagonal matrix are located along the diagonal.
In the case of a row matrix, the elements of the matrix are arranged along a row.
In the same way, the elements of the column matrix are located along a column.
In the case of a vertical matrix, the number of rows will be more than the number of columns.
In the horizontal matrix, the number of rows will be less than the number of columns.
There are many types of matrices except the above matrix. Hopefully, with the help of latex, you will be able to represent other types of matrices in the same way.
You can represent the matrix using the physics package instead of the amsmath package. Where the \matrixquantity command is used to denote the matrix. This \matrixquantity command is written as \mqty in short form.
And pass the body of the matrix as an argument in \mqty command which consists of a combination of row and column. Notice this example below
You can use different types of brackets on both sides of the matrix. However, the syntax of the command will be different for different brackets.
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agar hm matrix main matrix k sath numbering dena chahty ho column num or rows ko matrix pa e to wo kaise latix main add ho ga?
kindly plx bta dye.
In the image below, did you want this kind of output? Where the equation number will come with the matrix! Please confirm this ???

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a b c d
\begin{matrix}
a & b \\
c & d
\end{matrix}
a c ​ b d ​
All rows are separated by double backslashes \\ and items in each row are separated by & . The matrix doesn't draw any brackets.
( a b c d )
\begin{pmatrix}
a & b \\
c & d
\end{pmatrix}
( a c ​ b d ​ )
The pmatrix generates the common type of matrices with curly brackets.
[ a b c d ]
\begin{bmatrix}
a & b \\
c & d
\end{bmatrix}
[ a c ​ b d ​ ]
The bmatrix generates a matrix as pmatrix but it's more suitable in case that the matrix has three or more rows or columns.
[ a 1 1 ⋯ a 1 n a 2 1 ⋯ a 2 n ]
\begin{bmatrix}
a_{11} & \cdots & a_{1n} \\
a_{21} & \cdots & a_{2n}
\end{bmatrix}
[ a 11 ​ a 21 ​ ​ ⋯ ⋯ ​ a 1 n ​ a 2 n ​ ​ ]
∣ a b c d ∣
\begin{vmatrix}
a & b \\
c & d
\end{vmatrix}
∣ ∣ ​ a c ​ b d ​ ∣ ∣ ​
The vmatrix is better than other commands if you want to draw the determinant of a matrix.
∥ a b c d ∥
\begin{Vmatrix}
a & b \\
c & d
\end{Vmatrix}
∥ ∥ ​ a c ​ b d ​ ∥ ∥ ​
a b c d
\begin{array}{cc}
a & b \\
c & d
\end{array}
a c ​ b d ​

\documentclass{article}

\usepackage[utf8]{inputenc}

\usepackage{amsmath}

\begin{document}

$$\begin{matrix}

3 & 0 & 0 \\

-1 & 0 & 3 \\

a & b & c \\

\end{matrix}$$

\end{document}
\documentclass{article}

\usepackage[utf8]{inputenc}

\usepackage{amsmath}

\begin{document}

$$\begin{pmatrix}

3 & 0 & 0 \\

-1 & 0 & 3 \\

a & b & c \

\end{pmatrix}$$

\end{document}
\documentclass{article}

\usepackage[utf8]{inputenc}

\usepackage{amsmath}

\begin{document}

$$\begin{bmatrix}

3 & 0 & 0 \\

-1 & 0 & 3 \\

a & b & c \

\end{bmatrix}$$

\end{document}
\documentclass{article}

\usepackage[utf8]{inputenc}

\usepackage{amsmath}

\begin{document}

$$\begin{Bmatrix}

3 & 0 & 0 \\

-1 & 0 & 3 \\

a & b & c \

\end{Bmatrix}$$

\end{document}
\documentclass{article}

\usepackage[utf8]{inputenc}

\usepackage{amsmath}

\begin{document}

$$\begin{vmatrix}

3 & 0 & 0 \\

-1 & 0 & 3 \\

a & b & c \

\end{vmatrix}$$

\end{document}
\documentclass{article}

\usepackage[utf8]{inputenc}

\usepackage{amsmath}

\begin{document}

$$\begin{Vmatrix}

3 & 0 & 0 \\

-1 & 0 & 3 \\

a & b & c \

\end{Vmatrix}$$

\end{document}
\documentclass{article}

\usepackage[utf8]{inputenc}

\usepackage{amsmath}

\begin{document}

\left\langle

\begin{matrix}

3 & 0 & 0 \\

-1 & 0 & 3 \\

a & b & c

\end{matrix}

\right\rangle

\end{document}
\documentclass{article}

\usepackage[utf8]{inputenc}

\usepackage{amsmath}

\begin{document}

Maths is awesome with small matrices $\big(\begin{smallmatrix} a & b\\ c & d \end{smallmatrix}\big)$ as that one.

\end{document}
\documentclass{article}

\usepackage[utf8]{inputenc}

\usepackage{amsmath}

\begin{document}

\begin{equation*}

y = \begin{bmatrix}

3 & 0 & 0 \\

-1 & 0 & 3 \\

a1 & b_{{22}} & c4

\end{bmatrix}

\end{equation*}

\end{document}
This tutorial discusses how to write matrices using LaTeX.
To write and render matrices in LaTeX, you need to import the amsmath package. You do this in the preamble as:
Once you import the amsmath package, you get access to various types of environments to create matrices.
The following are the matrices’ environment variables.
The following shows how to write various matrix types in LaTeX.
To write a matrix with no braces, we use the matrix environment as shown in the example code below:
The example code above creates a 3 x 3 matrix as shown in the image below:
To enclose a matrix with parenthesis, use the pmatrix variable. Here is an example code:
The result of the matrix code above is:
Using the bmatrix environment, you can create a square bracket matrix as shown in the example code below:
You can also use the Bmatrix environment to create a curly braced matrix. Here is an example code:
To create a matrix with single pipes as the delimiters, use the vmatrix environment. Here is an example code for that:
To use double pipes uses the Vmatrix environment. Example:
You can also use LaTex delimiters to create a custom matrix. For example, to use angles as the delimiters,
\langle for left angle and \rangle for the right angle.
An example code is illustrated below:
Once you compile the code, you should get a matrix in the form:
If you try to include an inline matrix using the regular matrix environments, you will notice that it does not render correctly.
To resolve this, you can use a small matrix.
Once compiled, it should fit in line with other content as:
Suppose you want to assign a value to a matrix. To do this, you can use the equation environment as shown:
Once you compile the code above, you should get an equation matrix as shown.
Matrices are very useful in technical documentation. Hence, having a simple way to create them in LaTex can help save time and create easy-to-understand documentation.

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