LaTeX popular articles (c) --- matrix form

table of Contents

1. Introduction
2. Matrix
3. Form
4. Align

Updated: 2019.10.02

1. Introduction

Matrix is a powerful tool that many things can be represented by a matrix, let's talk about how in a matrix input in latex

2. Matrix

2.1 complicated wording

In latex, we can use the arrayparameters to input a matrix.

\begin{array}{ccc}
    1 & 0 & 0\\\\
    0 & 1 & 0\\\\
    0 & 0 & 1\\\\
\end{array}

显示效果：
\begin{array}{ccc}
1 & 0 & 0\\
0 & 1 & 0\\
0 & 0 & 1\\
\end{array}

What can be found in the above matrix seems lacking? ? ? And a control book, does not seem to find the ()or []. In fact, in latex, if you want to add this form of a matrix ()or [], and not to add the code directly to one ()or [], after all, matrix too, these two little guys can not hold it .
Generally speaking, to be used as \left(and \right)to represent. Of course, ()also it can be replaced [], even ||, but not the third representative of the matrix, but rather a determinant.

$$
\left[
    \begin{array}{ccc}
        1 & 0 & 0\\\\
        0 & 1 & 0\\\\
        0 & 0 & 1\\\\
    \end{array}
\right]
$$

显示效果：
\[ \left[ \begin{array}{ccc} 1 & 0 & 0\\\\ 0 & 1 & 0\\\\ 0 & 0 & 1\\\\ \end{array} \right] \]

Tip: {} refers to a method for aligning CCC element (centering), addition land roptional parameters respectively represent left and right

2.2 simplifies writing

If every input matrix when they are coupled with one \left(and \right), indeed annoying . But in fact, latex, there are some specific parameters can be generated matrix, like pmatrix(with ()matrix), bmatrix(with []matrix), vmatrix(determinant)

<!--带`()`的矩阵-->
\begin{pmatrix}
    1 & 0 & 0\\\\
    0 & 1 & 0\\\\
    0 & 0 & 1\\\\
\end{pmatrix}

<!--带`[]`的矩阵-->
\begin{bmatrix}
    1 & 0 & 0\\\\
    0 & 1 & 0\\\\
    0 & 0 & 1\\\\
\end{bmatrix}

<!--行列式-->
\begin{vmatrix}
    1 & 0 & 0\\\\
    0 & 1 & 0\\\\
    0 & 0 & 1\\\\
\end{vmatrix}

Display: \ pmatrix the begin {} . 1 & 0 & 0 \\ 0 \\ & 0. 1 & 0. 1 & & \\ 0 \} End {pmatrix

\begin{bmatrix}
1 & 0 & 0\\
0 & 1 & 0\\
0 & 0 & 1\\
\end{bmatrix}

\begin{vmatrix}
1 & 0 & 0\\
0 & 1 & 0\\
0 & 0 & 1\\
\end{vmatrix}

2.3 complex matrix

Sometimes we need to enter some of the more complex matrix or the matrix only letters

$$A = 
    \begin{pmatrix}
        a_{11} & a_{12} & \cdots & a_{1n}\\
        a_{21} & a_{22} & \cdots & a_{2n}\\
        \vdots & \vdots & \ddots & \vdots\\
        a_{n1} & a_{n2} & \cdots & a_{nn}\\
    \end{pmatrix}$$

显示效果：
\[A = \begin{pmatrix} a_{11} & a_{12} & \cdots & a_{1n}\\ a_{21} & a_{22} & \cdots & a_{2n}\\ \vdots & \vdots & \ddots & \vdots\\ a_{n1} & a_{n2} & \cdots & a_{nn}\\ \end{pmatrix}\]

tip: cross-point arrangement \ (\ cdots \) with $\cdots$ said columns arranged point \ (\ vdots \) with $\vdots$ said oblique arrangement of dots \ (\ ddots \) by $\ddots$ showing

3. Form

As mentioned in the usage of array, it is a little introduction of some form of latex.

\begin{array}{|c|c|}
        \hline
        0 & 1 \\\\\hline
        1 & 0 \\\\\hline
\end{array}

Display:
\ Array the begin {} {| C | C |}
\ hline
0 & \\\ hline. 1
. 1 & hline \\\ 0
\} End {Array

tip:\hline represents the horizontal line, vertical line and can be used |to represent

4. Align

In essence, array display are some of the things aligned array, so it can align other mathematical objects. For example, we can do this:

\begin{array}{cc}
        (A)\quad 4 & \hspace{4cm}(B)\quad 3\\\\
        (B)\quad 2 & \hspace{4cm}(D)\quad 1
\end{array}

显示效果：
\begin{array}{cc}
(A)\quad 4 & \hspace{4cm}(B)\quad 3\\
(B)\quad 2 & \hspace{4cm}(D)\quad 1
\end{array}

tip:\quad and \hspace{}all represents a space, but a different number of empty