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I want to add the labels of the right side and bottom (строка столбец), like shown in the following picture:

enter image description here

This is the code of my current matrix

\begin{equation} T_{i j}(\varphi)=\left[\begin{array}{ccccccc} 1 & \ldots & \ldots & \ldots & \ldots & \ldots & 0 \\ \ldots & \ldots & \ldots & \ldots & \ldots & \ldots & \ldots \\ \ldots & \ldots & \cos \varphi & \ldots & -\sin \varphi & \ldots & \ldots \\ \ldots & \ldots & \ldots & \ldots & \ldots & \ldots & \ldots \\ \ldots & \ldots & \sin \varphi & \ldots & \cos \varphi & \ldots & \ldots \\ \ldots & \ldots & \ldots & \ldots & \ldots & \ldots & \ldots \\ 0 & \ldots & \ldots & \ldots & \ldots & \ldots & 1 \end{array}\right]

which generates the following

enter image description here

Finally to give it a cleaner look, I would like to get rid of the unnecessary dots enter image description here

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2 Answers 2

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Option 1: With nicematrix (and mathtools for \mathclap command)

enter image description here

\documentclass{article} \usepackage{nicematrix, mathtools} \newcommand{\up}[1]{\overset{\textstyle\uparrow}{\mathclap{\textstyle#1\strut}}} \begin{document} \[ T_{ij}(\varphi)=\begin{bNiceMatrix}[last-row, last-col] 1\\ & 1\\ & & \ddots\\ & & & \cos\varphi & & -\sin\varphi & & & & i^{\mathit{th}}\mathit{ row}\\ & & & & \ddots\\ & & & \sin\varphi & & \cos\varphi & & & & j^{\mathit{th}}\mathit{ row}\\ & & & & & & \ddots\\ & & & & & & & 1\\ & & & & & & & & 1\\ & & & \up{i^{\mathit{th}}\mathit{ column}} & & \up{j^{\mathit{th}}\mathit{ column}} \end{bNiceMatrix} \] \end{document}

Option 2: Without nicematrix

enter image description here

\usepackage{mathtools} \newcommand{\up}[1]{\overset{\textstyle\uparrow}{\mathclap{\textstyle#1\strut}}} \begin{document} \[ T_{ij}(\varphi)=\underset{\up{i^{\mathit{th}}\mathit{ column}}\hspace{5.33em}\up{j^{\mathit{th}}\mathit{ column}}\hspace{.4em}}{\begin{bmatrix} 1\\ & 1\\ & & \ddots\\ & & & \cos\varphi & & -\sin\varphi\\ & & & & \ddots\\ & & & \sin\varphi & & \cos\varphi\\ & & & & & & \ddots\\ & & & & & & & 1\\ & & & & & & & & 1 \end{bmatrix}} \begin{matrix} \\ \\ \phantom{\ddots}\\ i^{\mathit{th}}\mathit{ row} \\ \phantom{\ddots}\\ j^{\mathit{th}}\mathit{ row} \\ \phantom{\ddots}\\ \\ {} \end{matrix} \] \end{document}
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Here is a suggestion.

\documentclass{article} \usepackage{nicematrix} \usepackage{tikz} \begin{document} \newcommand{\Clap}[1]{\multicolumn{1}{w{c}{0mm}}{#1}} \NiceMatrixOptions{code-for-first-row = \scriptstyle,code-for-first-col = \scriptstyle } \setcounter{MaxMatrixCols}{12} \newcommand{\blue}{\color{blue}} \[\begin{pNiceMatrix}[last-row,last-col,nullify-dots,xdots/line-style={dashed,blue}] 1& & & \Vdots & & & & \Vdots \\ & \Ddots[line-style=standard] \\ & & 1 \\ \Cdots[color=blue,line-style=dashed]& & & \Clap{\blue \cos\theta} & \Cdots & & & \Clap{\blue -\sin\theta} & & & \Cdots & \blue \leftarrow i \\ & & & & 1 \\ & & &\Vdots & & \Ddots[line-style=standard] & & \Vdots \\ & & & & & & 1 \\ \Cdots & & & \Clap{\blue \sin\theta} & \Cdots & & \Cdots & \Clap{\blue \cos\theta} & & & \Cdots & \blue \leftarrow j \\ & & & & & & & & 1 \\ & & & & & & & & & \Ddots[line-style=standard] \\ & & & \Vdots & & & & \Vdots & & & 1 \\ & & & \blue \overset{\uparrow}{i} & & & & \blue \overset{\uparrow}{j} \\ \end{pNiceMatrix}\] \end{document}

You need several compilations (because nicematrix uses PGF/Tikz nodes under the hood).

Output of the above code

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  • I appreciate your suggestion. That looks kinda complicated Commented Jun 2, 2023 at 19:14

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