• Basic grammar using matrix in Markdown
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    $$
    \left(
     \begin{matrix}
       a & b & c & d & e \\
       f & g & h & i & j \\
       k & l & m & n & o \\
       p & q & r & s & t
      \end{matrix}
    \right) 
    $$

  • Matrix equation with color

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    $$
    \left\{
     \begin{matrix}
       \color{blue}{b_1} &  \color{blue}{c_1} & 0 & 0 & 0 & 0 \\
       \color{blue}{a_2} &  \color{blue}{b_2} &  \color{blue}{c_2} & 0 & 0 & 0  \\
       0 &  \color{blue}{a_3} &  \color{blue}{b_3} &  \color{blue}{c_3} & 0 & 0 \\
       0 & 0 &  \color{blue}{a_4} &  \color{blue}{b_4} &  \color{blue}{c_4} & 0 \\
       0 & 0 & 0 &  \color{blue}{a_5} &  \color{blue}{b_5} &  \color{blue}{c_5} \\
       0 & 0 & 0 & 0 &  \color{blue}{a_6} &  \color{blue}{b_6}
      \end{matrix} 
    \right\}
    \left\{
     \begin{matrix}
     x1 \\
     x2 \\
     x3 \\
     x4 \\
     x5 \\
     x6
     \end{matrix}
    \right\} = 
    \left\{
     \begin{matrix}
     \color{blue}{r_1} \\
     \color{blue}{r_2} \\
     \color{blue}{r_3} \\
     \color{blue}{r_4} \\
     \color{blue}{r_5} \\
     \color{blue}{r_6} \\
     \end{matrix}
    \right\}
    $$

  • Dots in Matrix

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    \cdots    % horizontal dots
    \vdots    % verical dots 
    \ddots    % diagonal dots

    Example 

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    \left\{
     \begin{matrix}
       b_1 & c_1 &     &   &  0\\
       a_2 & b_2 & c_2 &   &  \\
           & a_3 & b_3 & \ddots &  \\
           &     & \ddots & \ddots & c_{n_1} \\
       0   &     &        &   a_n  &   b_n    
      \end{matrix} 
    \right\}

Note: If you see that matrix brackets are broken, please zoom in/out the page. This is a mathjax formula rendering issue, not a syntax issue.