Jtdcftul

Main question

How to align braces and mid in a set in order to get the same height?

Code:

My following code

documentclass{article}

usepackage[utf8]{inputenc}

usepackage{amsmath}

usepackage{amssymb}



begin{document}



$G_1=left{ begin{pmatrix} 1 \ -2 \ 3 \ 4 end{pmatrix} + lambda begin{pmatrix} -2 \ 3 \ 4 \ -5 end{pmatrix} mid lambda in mathbb{R}right}$

end{document}

compiles to:

Does this is a better visualization than:

documentclass{article}

usepackage[utf8]{inputenc}

usepackage{amsmath}

usepackage{amssymb}



begin{document}



$G_1={ begin{pmatrix} 1 \ -2 \ 3 \ 4 end{pmatrix} + lambda begin{pmatrix} -2 \ 3 \ 4 \ -5 end{pmatrix} mid lambda in mathbb{R}}$

end{document}

which compiles to:

?

Other questions

1. How do I align the negative numbers of the vectors correctly?


2. How do I manage to change the relational symbol mid to a bigger one that fits the height of the vectors/braces?


3. Which is the best way to visualize G_1 if none of the visualizations above are good enough?

I suggest using the pmatrix*[r] environment, from mathtools, in a medium-sized version thanks to the medsize environment from nccmath. Also, I used a set command based on DeclarePairedDelimiterX (again from mathtools), which uses two arguments, separated by a semi-colon:

documentclass{article}

usepackage[utf8]{inputenc}

usepackage{amssymb}

usepackage{mathtools, nccmath}



newenvironment{pmmatrix*}[1][c]{medsizebegin{pmatrix*}[#1]}{ end{pmatrix*}endmedsize}

usepackage{xparse}

DeclarePairedDelimiterX{set}[1]{}{setargs{#1}}

NewDocumentCommand{setargs}{>{SplitArgument{1}{;}}m}

{setargsaux#1}

NewDocumentCommand{setargsaux}{mm}

{IfNoValueTF{#2}{#1}{nonscript,#1nonscript;delimsizevertnonscript:allowbreakmathopen{}#2nonscript,}}



begin{document}



[set*{begin{pmmatrix*}[r]1\ -2 \ 3 \ 4 end{pmmatrix*} + lambdabegin{pmmatrix*}[r]-2 \ 3 \ 4 \ -5 end{pmmatrix*}; lambdainmathbf{R}} ]



end{document} 

documentclass{article}

usepackage[utf8]{inputenc}

usepackage{amsmath}

usepackage{amssymb}

usepackage{tabstackengine}

begin{document}



$G_1=left{ parenVectorstack[r]{ 1 \ -2 \ 3 \ 4 } + 

  lambda parenVectorstack[r]{ -2 \ 3 \ 4 \ -5 } 

  middlevert, lambda in mathbb{R}right}$

end{document}