import numpy as np from scipy.stats import ortho_group d = 3 seed = 1 size = 2 a, b = np.float32(ortho_group.rvs(size=size, dim=d, random_state=seed)) print(a) print(np.linalg.det(a)) print(a @ a.T)
https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.ortho_group.htmlhtml