3

I am trying highlight a row of matrices in a tabular environment. However, the left brackets of the matrices are gone. And I don't know how to fix this.

In addition, how can I highlight 2 elements within a matrix, i.e. highlight "... & \vec{v}_n" ? How can this be done ? picture

\documentclass{article}

\usepackage{amsmath, colortbl}

\begin{document}
\begin{center}
\setlength{\tabcolsep}{0pt}
\begin{tabular}{c c c c c}
\rowcolor{yellow}
$A$
&
$\begin{bmatrix}
&&&&\\
\vec{v}_1 &\cdots &\vec{v}_r & \cdots & \vec{v}_n\\
&&&&
\end{bmatrix}
$
&
$=$
&
$\begin{bmatrix}
&&&&\\
\vec{u}_1 &\cdots & \vec{u}_r & \cdots& \vec{u}_m\\
&&
\end{bmatrix}$
&
$
\begin{bmatrix}
\sigma_1 &&&\\
&\ddots&&\\
&& \sigma_r&\\
&&&
\end{bmatrix}
$\\
$(m \times n)$
&
$(n \times n)$
&
&
$(m \times n)$
&
$(m \times n)$
\end{tabular}
\end{center}
\end{document}
3

That's an interesting feature.....

\cellcolor works better (and by using \cellcolor on just some of the cells you can highlight smaller parts of the display)

enter image description here

\documentclass{article}

\usepackage{amsmath, colortbl}

\begin{document}
\begin{center}
\setlength{\tabcolsep}{0pt}
\begin{tabular}{c c c c c}
\cellcolor{yellow}
$A$
&
\cellcolor{yellow}
$\begin{bmatrix}
&&&&\\
\vec{v}_1 &\cdots &\vec{v}_r & \cdots & \vec{v}_n\\
&&&&
\end{bmatrix}
$
&
\cellcolor{yellow}
$=$
&
\cellcolor{yellow}
$\begin{bmatrix}
&&&&\\
\vec{u}_1 &\cdots & \vec{u}_r & \cdots& \vec{u}_m\\
&&
\end{bmatrix}$
&
\cellcolor{yellow}
$
\begin{bmatrix}
\sigma_1 &&&\\
&\ddots&&\\
&& \sigma_r&\\
&&&
\end{bmatrix}
$\\
$(m \times n)$
&
$(n \times n)$
&
&
$(m \times n)$
&
$(m \times n)$
\end{tabular}
\end{center}
\end{document}

You can use \cellcolor also on the nested matrix:

&
\cellcolor{yellow}
$\begin{bmatrix}
&&&&\\
\vec{u}_1 &\cdots &\cellcolor{blue} \vec{u}_r & \cdots& \vec{u}_m\\
&&
\end{bmatrix}$
&

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