3

in the code given below, I wanted the brackets from the \blkarray matrix to match those of the original matrix given in Equ (1).

enter image description here

The issue is, when I use the \blkarray, the brackets are too short and does not look as elegant as in the original matrix. Can this be fixed? Thanks.

Here is the code that was elegantly devised by cfr:

\documentclass[11pt]{book}

\usepackage{amsmath,amsfonts,amssymb,amsthm}
\usepackage{xcolor}
\definecolor{ocre}{RGB}{0,173,239}

\usepackage{blkarray}

\makeatletter
\renewcommand*\env@matrix[1][*\c@MaxMatrixCols c]{%
  \hskip -\arraycolsep
  \let\@ifnextchar\new@ifnextchar
  \array{#1}}
\makeatother

\usepackage{tikz}

\usetikzlibrary{arrows,matrix,positioning,fit,arrows.meta,}
\tikzset{%
  highlight/.style={rectangle,rounded corners,fill=ocre!50,draw,
    fill opacity=0.5,thick,inner sep=0pt}
}
\newcommand{\tikzmark}[2]{\tikz[overlay,remember picture,
  baseline=(#1.base)] \node (#1) {#2};}
%
\newcommand{\Highlight}[1][submatrix]{%
    \tikz[overlay,remember picture]{
    \node[highlight,fit=(left.north west) (right.south east)] (#1) {};}
}
\newcommand{\mytikzmark}[2]{\tikz[overlay,remember picture, baseline=(#1.base)] \node (#1) {#2};}
\begin{document}

Original Matrix:

\begin{equation}
\begin{bmatrix}[cccc|c]
  1 & 0 & -1 & 0 & 0 \\
  0 & 1 & 2 & 0 & 0 \\
  0 & 0 & 0 & 1 & 0
\end{bmatrix}\\
\end{equation}

Updated Matrix:

\begin{equation}
  \begin{blockarray}{ccccc}
    x_{1} & x_{2} & x_{3} & x_{4} &  \\
    \begin{block}{[cccc|c]}
      1 & 0 & \mytikzmark{left}{-1} & 0 & 0 \\
      0 & 1 & 2 & 0 & 0 \\
      0 & 0 & \mytikzmark{right}{0} & 1 & 0 \\
    \end{block}
  \end{blockarray}
  \Highlight[new1]
\end{equation}
\tikz[remember picture,overlay]{%
  \draw [LaTeX-] (new1.south) ++(0,-2.5pt) [out=-90,in=160] to ++(5mm,-10mm) node [right, xshift=-2.5mm, font=\itshape, text=red, align=center] {free\\variable};
}

\end{document} 
Joe
  • 9,080

3 Answers3

4

This is rather close to just re-asking the same question but if you want to highlight a column in the first array rather than the second, just put the marks there.

enter image description here

Or egreg wants me to do this

enter image description here

\documentclass[11pt]{book}


\documentclass[11pt]{book}

\usepackage{amsmath,amsfonts,amssymb,amsthm}
\usepackage{xcolor}
\definecolor{ocre}{RGB}{0,173,239}

\usepackage{blkarray}

\makeatletter
\renewcommand*\env@matrix[1][*\c@MaxMatrixCols c]{%
  \hskip -\arraycolsep
  \let\@ifnextchar\new@ifnextchar
  \array{#1}}
\makeatother

\usepackage{tikz}

\usetikzlibrary{arrows,matrix,positioning,fit,arrows.meta,}
\tikzset{%
  highlight/.style={rectangle,rounded corners,fill=ocre!50,draw,
    fill opacity=0.5,thick,inner sep=0pt}
}
\newcommand{\tikzmark}[2]{\tikz[overlay,remember picture,
  baseline=(#1.base)] \node (#1) {#2};}
%
\newcommand{\Highlight}[1][submatrix]{%
    \tikz[overlay,remember picture]{
    \node[highlight,fit=(left.north west) (right.south east)] (#1) {};}
}
\newcommand{\mytikzmark}[2]{\tikz[overlay,remember picture, baseline=(#1.base)] \node (#1) {#2};}
\begin{document}

Original Matrix:



\bigskip
\begin{equation}
\begin{bmatrix}[cccc|c]
\noalign{\vskip-1.5\normalbaselineskip}
  x_{1} & x_{2} & x_{3} &\multicolumn{1}{c}{ x_{4}} &  \\
\noalign{\vskip.5\normalbaselineskip}
  1 & 0 & \mytikzmark{left}{-1} & 0 & 0 \\
  0 & 1 & 2 & 0 & 0 \\
  0 & 0 & \mytikzmark{right}{0} & 1 & 0
\end{bmatrix}\\
\end{equation}

  \Highlight[new1]

\tikz[remember picture,overlay]{%
  \draw [LaTeX-] (new1.south) ++(0,-2.5pt) [out=-90,in=160] to ++(5mm,-10mm) node [right, xshift=-2.5mm, font=\itshape, text=red, align=center] {free\\variable};
}

\end{document} 
David Carlisle
  • 757,742
4

You might use \bbordermatrix from \bordermatrix with brackets [ ] instead of parentheses ( )

\documentclass{article}
\usepackage{xcolor}
\usepackage{tikz}
\usepackage{etoolbox}

\usetikzlibrary{arrows,matrix,positioning,fit,arrows.meta,}

\definecolor{ocre}{RGB}{0,173,239}

\tikzset{%
  highlight/.style={rectangle,rounded corners,fill=ocre!50,draw,
    fill opacity=0.5,thick,inner sep=0pt}
}
\newcommand{\tikzmark}[2]{\tikz[overlay,remember picture,
  baseline=(#1.base)] \node (#1) {#2};}
%
\newcommand{\Highlight}[1][submatrix]{%
    \tikz[overlay,remember picture]{
    \node[highlight,fit=(left.north west) (right.south east)] (#1) {};}
}
\newcommand{\mytikzmark}[2]{\tikz[overlay,remember picture, baseline=(#1.base)] \node (#1) {#2};}

\let\bbordermatrix\bordermatrix
\patchcmd{\bbordermatrix}{8.75}{4.75}{}{}
\patchcmd{\bbordermatrix}{\left(}{\left[}{}{}
\patchcmd{\bbordermatrix}{\right)}{\right]}{}{}

\newcommand{\wall}[2]{%
  \smash{%
    \vrule height \dimexpr\ht\strutbox+#1 depth \dimexpr\dp\strutbox+#2\relax
  }%
}

\begin{document}
\begin{equation}
\bbordermatrix{
 & x_{1} & x_{2} & x_{3}                 & x_{4} &                 &   \cr
 & 1     & 0     & \mytikzmark{left}{-1} & 0     & \wall{0pt}{3pt} & 0 \cr
 & 0     & 1     & 2                     & 0     & \wall{3pt}{3pt} & 0 \cr
 & 0     & 0     & \mytikzmark{right}{0} & 1     & \wall{3pt}{0pt} & 0 \cr
}
\Highlight[new1]
\end{equation}
\tikz[remember picture,overlay]{%
  \draw [LaTeX-] (new1.south) ++(0,-2.5pt) [out=-90,in=160] to ++(5mm,-10mm) node [right, xshift=-2.5mm, font=\itshape, text=red, align=center] {free\\variable};
}

\end{document}

enter image description here

egreg
  • 1,121,712
1

With {bNiceArray} of nicematrix, you will the same brackets as {array} and {bmatrix}. The environment {bNiceArray} has a key first-row to add a row of labels above the matrix.

\documentclass[11pt]{book}
\usepackage{xcolor}
\definecolor{ocre}{RGB}{0,173,239}

\usepackage{nicematrix} \usepackage{tikz} \usetikzlibrary{positioning,arrows.meta}

\begin{document}

Original Matrix:

\begin{equation} \left[\begin{array}{@{}cccc|c@{}} 1 & 0 & -1 & 0 & 0 \ 0 & 1 & 2 & 0 & 0 \ 0 & 0 & 0 & 1 & 0 \end{array}\right] \end{equation}

Updated Matrix:

\begin{equation} \begin{bNiceArray}{cccc|c}[first-row] x_1 & x_2 & x_3 & x_4 \ 1 & 0 & \Block[draw,fill=ocre!50,rounded-corners]{3-1}{} -1 & 0 & 0 \ 0 & 1 & 2 & 0 & 0 \ 0 & 0 & 0 & 1 & 0 \ \CodeAfter \tikz \draw [LaTeX-] (3-3.south) ++(0,-4.5pt) [out=-90,in=160] to ++(5mm,-10mm) node [right, xshift=-2.5mm, font=\itshape, text=red, align=center] {free\variable}; \end{bNiceArray} \end{equation}

\end{document}

Output of the above code

F. Pantigny
  • 40,250