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June 19, 2017 23:55
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Projection on hyperplanes
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| A = np.array([ | |
| [1, 1, 1], | |
| [0.8, 0.7, 0.5] | |
| ]) | |
| assert np.linalg.matrix_rank(A) == len(A) | |
| Q, _ = np.linalg.qr(A.T) | |
| P = np.eye(len(Q)) - Q @ Q.T | |
| np.allclose(P @ P, P) |
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