Matrix in LaTeX - Quick Anwerz

How to write Matrix in \(\LaTeX\)?

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. This tutorial will address how to generate a matrix and make modifications with regard to the brackets/braces.

How to create matrix in \(\LaTeX\)?

For generating matrix in \(\LaTeX\), we have to use the package amsmath by giving thecommand \usepackage{amsmath}. There can be various types of brackets to use in a matrix. Some of them are discussed below:

• matrix --- creates a matrix without brackets or boundaries.
• pmatrix --- creates a matrix with brackets or parenthesis.
• bmatrix --- creates a matrix with square brackets or boundaries.
• Bmatrix --- creates a matrix with curly brackets or boundaries.
• vmatrix --- creates a matrix with a rectangular line boundary or pipes.
• Vmatrix --- creates a matrix with double vertical bar brackets or boundaries.

Definition	\(\LaTeX\) Code	Output
Plain Matrix; Without Brackets	\begin{matrix} a_{11} & a_{12}\\ a_{21} & a_{22} \end{matrix}	\[\begin{matrix} a_{11} & a_{12}\\a_{21} & a_{22} \end{matrix}\]
Parentheses Matrix;, Round Brackets	\begin{pmatrix} a_{11} & a_{12}\\ a_{21} & a_{22} \end{pmatrix}	\[\begin{pmatrix} a_{11} & a_{12}\\a_{21} & a_{22} \end{pmatrix}\]
Brackets Matrix; Square Brackets	\begin{bmatrix} a_{11} & a_{12}\\ a_{21} & a_{22} \end{bmatrix}	\[\begin{bmatrix} a_{11} & a_{12}\\a_{21} & a_{22} \end{bmatrix}\]
Braces Matrix; Curly Brackets	\begin{Bmatrix} a_{11} & a_{12}\\ a_{21} & a_{22} \end{Bmatrix}	\[\begin{Bmatrix} a_{11} & a_{12}\\a_{21} & a_{22} \end{Bmatrix}\]
Pipes Matrix	\begin{vmatrix} a_{11} & a_{12}\\ a_{21} & a_{22} \end{vmatrix}	\[\begin{vmatrix} a_{11} & a_{12}\\a_{21} & a_{22} \end{vmatrix}\]
Double Pipes	\begin{Vmatrix} a_{11} & a_{12}\\ a_{21} & a_{22} \end{Vmatrix}	\[\begin{Vmatrix} a_{11} & a_{12}\\a_{21} & a_{22} \end{Vmatrix}\]
Generalized Matrix; Square Brackets	A = \begin{bmatrix} a_{11} & a_{12} & \cdots & a_{1n}\\ \vdots & \vdots & \ddots &\vdots\\ a_{n1} & a_{n2} & \cdots & a_{nn} \end{bmatrix}	\[A = \begin{bmatrix} a_{11} & a_{12} & \cdots & a_{1n}\\\vdots & \vdots & \ddots &\vdots\\a_{n1} & a_{n2} & \cdots & a_{nn}\end{bmatrix}\]
Generalized Column Respresentation of Matrix	\begin{bmatrix} \vert & \vert & & \vert \\ x_1 & x_2 & \dots & x_m \\ \vert & \vert & & \vert \end{bmatrix}	\begin{bmatrix}\vert & \vert & & \vert \\x_1 & x_2 & \dots & x_m \\\vert & \vert & & \vert\end{bmatrix}
Augmented Matrix	\begin{bmatrix} a_{11} & 0 & 0 & 0 &\bigm| & b_1 \\ 0 & a_{22} & 0 & 0 &\bigm| & b_2 \\ 0 & 0 & a_{33} & 0 &\bigm| & b_3 \\ 0 & 0 & 0 & a_{44} &\bigm| & b_4 \end{bmatrix}	\begin{bmatrix} a_{11} & 0 & 0 & 0 &\bigm| & b_1 \\ 0 & a_{22} & 0 & 0 &\bigm| & b_2 \\ 0 & 0 & a_{33} & 0 &\bigm| & b_3 \\ 0 & 0 & 0 & a_{44} &\bigm| & b_4 \end{bmatrix}

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