using python and numpy create a sparse matrix 100x100 with 100 entries create a dense matrix 100x100 with 100 entries use sys.getsizeof to determine the sizes in python

main.py
import numpy as np
import sys

# create a sparse matrix
sparse_matrix = np.zeros((100, 100))
indices = np.random.randint(0, 100, (100, 2))
data = np.random.rand(100)
for i in range(100):
    sparse_matrix[indices[i,0], indices[i,1]] = data[i]
sparse_matrix = sparse_matrix.tocoo()

# Calculate size of sparse matrix
sparse_size = sys.getsizeof(sparse_matrix)

# Convert sparse matrix to dense matrix
dense_matrix = sparse_matrix.toarray()

# Calculate size of dense matrix
dense_size = sys.getsizeof(dense_matrix)

print("Sparse Matrix size:", sparse_size)
print("Dense Matrix size:", dense_size)
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main.py
Sparse Matrix size: 56
Dense Matrix size: 80968
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