
== Big heading ==

The identity matrix is the matrix for which a_ij = 1 when i = j, and 0 everywhere else. For example, in three dimensions, I = [[1 0 0 ; 0 1 0 ;  0 0 1]].

Here is a column vector: [0 1 0]'.

x \mapsto y

1/3

Here are some equations which easylatex will automatically align:

1 + 1 = 2
1 = 2 - 1
0 = 2 - 2

=== Smaller heading ===

* an item in an itemized list
* another item

# item number 1
# item number 2

{{{
put verbatim text in here
}}}

"Normal quotation marks are transformed into nice quotes"

three dots are ... transformed into \ldots

__underline__, **boldface**

\begin{graph}
    $v_1$ -> vertex2;
    vertex2 -> $v_3$;
    $v_3$ -> $v_1$;
\end{graph}


==== Even smaller heading ==== 

% note: you can still use normal LaTeX in an easylatex file! for example:
\begin{eqnarray*}
a + b &=& c
\\ a &=& c - b
\\ \begin{array}{ll} 
1 & 2 
\\ 3 & 4
\end{array}
\end{eqnarray*}

\begin{latex}
if you want to pass part of your document directly to latex without running it through easylatex first, use the latex pseudo-environment.
Example: **This is not boldface**.
\end{latex}
