Question
Type up directions on how to construct the commutative diagrams, like a general guide to help someone construct a commutative diagram.
Solution
In order to run any of these examples, it is necessary to have pgf and tikz installed with the latex package. In order to produce the examples that follow in the latex document we need to have the tikz package in the path and use the tikzlibrary matrix:
\usepackage{tikz} \usetikzlibrary{matrix}...

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