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The commands point2d and line will draw points and lines for you. Here is an example:

nodes = [(1,1),(-1,1),(2,0)]
points = point2d(nodes,color='black',size=50)
lines = line((nodes[0],nodes[1]),hue=.2) + line((nodes[0],nodes[2]),hue=.4)
(points + lines).show(axes=False)

You could write a loop over the elements of the matrix 'Z' which adds the relevant line if the intensity is not zero, and uses the intensity value for the hue.