Plotting eigenvalues in complex plane

salam
63 ●1 ●2 ●8

Would you please tell how I can define a random matrix whose entries are 1, 0 and plot its eigenvalues in the complex plane?

can do

sage: point2d(random_matrix(ZZ, 10, 10, x=0, y=2).charpoly().roots(CDF, False))

Comments

Increasing the size of the points looks even better:

point2d(random_matrix(ZZ, 10, 10, x=0, y=2).charpoly().roots(CDF, False), size=50)

Sébastien ( 2020-04-18 11:41:03 +0100 )edit

@vdelecroix Thanks, if I want to do this for several times, I checked the following code, but it didn't work

for i in range(5):
point2d(random_matrix(ZZ, 10, 10, x=0, y=2).charpoly().roots(CDF, False), size=50)

Is it correct?

salam ( 2020-04-18 12:06:14 +0100 )edit

@Sébastien that depends on the size of the matrix.

@salam: if the code would have been correct it would run. Just learn how to make a loop in Python. But to get several pictures, it might be more convenient to use graphics_array.

vdelecroix ( 2020-04-18 13:14:32 +0100 )edit

Thank you.

salam ( 2020-04-18 13:44:49 +0100 )edit

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