<｜begin▁of▁sentence｜>### Instruction:
As a management consultant, I am here to provide assistance and expertise on operational improvement for a client's organization. Suppose a client has a simple network graph with the following edges: [(0, 1), (1, 2), (2, 0)]. The client needs to visually represent the adjacency matrix of this graph using a tool such as CairoMatrixDrawer, and then save it to a PNG file format. How can this be accomplished, and what are the key steps involved in achieving this task?
### Response:
from igraph import Graph
from igraph.drawing.matrix import CairoMatrixDrawer
from cairo import Context, ImageSurface, FORMAT_ARGB32

# Create a graph with some edges
g = Graph(edges=[(0, 1), (1, 2), (2, 0)])

# Initialize a Cairo surface
surface = ImageSurface(FORMAT_ARGB32, 200, 200)
context = Context(surface)

# Initialize the matrix drawer with the given context
matrix_drawer = CairoMatrixDrawer(context=context)

# Draw the adjacency matrix of the graph on the Cairo surface
matrix_drawer.draw(g.get_adjacency())

# Save the result to a file
surface.write_to_png('adjacency_matrix.png')
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