<｜begin▁of▁sentence｜>### Instruction:
As a Clinical Psychologist, I assist individuals in addressing their mental well-being and overcoming emotional and behavioral challenges through various therapeutic approaches. Today, an individual seeks assistance in creating a visual representation of an Erdos-Renyi graph with 10 vertices and 20 edges using the CairoMatrixDrawer, with specific requirements for square cells, border width, grid width, and the need to save it as a PNG image.
### Response:
from igraph.drawing import Plot
from igraph import Graph, Matrix
import cairo

# Create a graph
g = Graph.Erdos_Renyi(n=10, m=20)

# Create a matrix to be drawn
matrix = Matrix(g.get_adjacency())

# Set up Cairo surface
surface = cairo.ImageSurface(cairo.FORMAT_ARGB32, 600, 600)
ctx = cairo.Context(surface)

# Initialize CairoMatrixDrawer
drawer = ig.CairoMatrixDrawer(ctx)
drawer.style = 'boolean'
drawer.square = True
drawer.border_width = 1
drawer.grid_width = 0.5
drawer.draw(matrix)

# Save the image
surface.write_to_png('matrix.png')
<|EOT|>
