Vrftjkry

The above fraction is what I would like to achieve

What I have so far is

$ begin{bmatrix}

0 \

0 \

1 \

1 

end{bmatrix}   - frac{ begin{bmatrix}

0 & 0 & 1 & 1 

end{bmatrix}  begin{bmatrix}

1 \

1 \

1 \

1 

end{bmatrix}}{begin{bmatrix}

1 & 1 & 1 & 1 

end{bmatrix}  begin{bmatrix}

1 \

1 \

1 \

1 

end{bmatrix} }$

and it looks like this

How can I achieve my desired result?

You could use the bsmallmatrix environment, provided by the mathtools package, to render the row and column vectors in the frac expression more compactly.

documentclass{article}

usepackage{mathtools}

begin{document}

[

begin{bmatrix}

  0 \ 0 \ 1 \ 1 

end{bmatrix}   

- frac{ 

begin{bsmallmatrix}

  0 & 0 & 1 & 1 

end{bsmallmatrix}  

begin{bsmallmatrix}

  1 \ 1 \ 1 \ 1 

end{bsmallmatrix}}{%

begin{bsmallmatrix}

  1 & 1 & 1 & 1 

end{bsmallmatrix}  

begin{bsmallmatrix}

  1 \ 1 \ 1 \ 1 

end{bsmallmatrix} }

begin{bmatrix}

  1 \ 1 \ 1 \ 1 

end{bmatrix} 

]

end{document}

documentclass{article}

usepackage{tabstackengine}

stackMath

newcommandFrac[2]{frac{addstackgap{#1}}{addstackgap{#2}}}

begin{document}

[

  setstacktabbedgap{1ex}

  bracketVectorstack{0\0\1\1} -

  Frac{

    bracketMatrixstack{0&0&1&1}bracketVectorstack{1\1\1\1}

  }{

    bracketMatrixstack{1&1&1&1}bracketVectorstack{1\1\1\1}

  }

  bracketVectorstack{1\1\1\1}

]

end{document}

The smaller size of Frac is also possible, with a small redefinition:

documentclass{article}

usepackage{tabstackengine}

stackMath

newcommandFrac[2]{{%

  setstackgap{L}{.7normalbaselineskip}TABstackMathstyle{scriptstyle}%

  frac{addstackgap{#1}}{addstackgap{#2}}%

}}

begin{document}

[

  setstacktabbedgap{1ex}

  bracketVectorstack{0\0\1\1} -

  Frac{

    bracketMatrixstack{0&0&1&1}bracketMatrixstack{1\1\1\1}

  }{

    bracketMatrixstack{1&1&1&1}bracketMatrixstack{1\1\1\1}

  }

  bracketVectorstack{1\1\1\1}

]

end{document}