Cross out a row or column with a line in Latex

A quick solution, alternative to the packagetikzmark :

\documentclass{article}
\usepackage{amsmath}
%\usepackage{ulem}
\usepackage{kbordermatrix}
%\usepackage{soul}

\begin{document}

\[
\text{matriz} = \kbordermatrix{
 & t1 & t2 & t3 & t4 & t5 \\
a1 & 1 & 1 & 1 & 1 & 0 \\
a2 & 0 & 1 & 14 & 99 & 0 \\
a3 & 0 & 0 & 1 & 0 %
\makebox(-6,0){\rule[1ex]{.8pt}{14ex}} % vertical
\makebox(-52,2){\rule[1ex]{21ex}{.8pt}} % horizontal
 & 0 \\
a4 & 0 & 0 & 0 & 1 & 0 \\
a5 & 30 & 155 & 0 & 0 & 0
}
\]

\end{document}

Reference 1 ; reference 2 ; reference 3 .

I'm sorry but I only speak Italian and I used Google translate :)

According to the package documentation kbordermatrix, there is no functionality about it. But since you use you ulemcan use the command \xout{}or you can also try the package canceland use \cancel{}. For example:

\documentclass{article}
\usepackage{amsmath}% http://ctan.org/pkg/amsmath
\usepackage{ulem}
\usepackage{soul}
\usepackage{cancel}
\usepackage{kbordermatrix}% http://www.hss.caltech.edu/~kcb/TeX/kbordermatrix.sty

\begin{document}

    \renewcommand{\kbldelim}{(}% Left delimiter
    \renewcommand{\kbrdelim}{)}% Right delimiter
    \[
    \text{matriz} = \kbordermatrix{
        & t1 & t2 & t3 & t4 & t5 \\
        a1 &  1 & 1 & 1 & 1 & 0 \\
        a2 & 0 & 1 & 14 & 99 & 0 \\
        a3 & \cancel{0} & \cancel{10} & \cancel{1} & \cancel{0} & \cancel{0} \\
        a4 & 0 & 0 & 0 & 1 & 0 \\
        a5 & \xout{30} & \xout{155} & \xout{0} & \xout{0} & \xout{0}
    }
    \]

\end{document}