Created
November 13, 2014 09:43
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Matlab SVD projection
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| >> a = [1 2 3; 2 5 7; 3 7 9] | |
| a = | |
| 1 2 3 | |
| 2 5 7 | |
| 3 7 9 | |
| >> [U S V] = svd(a) | |
| U = | |
| -0.2459 -0.3944 -0.8855 | |
| -0.5810 -0.6712 0.4603 | |
| -0.7758 0.6277 -0.0641 | |
| S = | |
| 15.1931 0 0 | |
| 0 0.3707 0 | |
| 0 0 0.1776 | |
| V = | |
| -0.2459 0.3944 -0.8855 | |
| -0.5810 0.6712 0.4603 | |
| -0.7758 -0.6277 -0.0641 | |
| >> x = [3 4 5] | |
| x = | |
| 3 4 5 | |
| >> Ur = U(:, 1:2) | |
| Ur = | |
| -0.2459 -0.3944 | |
| -0.5810 -0.6712 | |
| -0.7758 0.6277 | |
| >> xr = x*Ur | |
| xr = | |
| -6.9410 -0.7296 | |
| >> xn = xr*Ur' | |
| xn = | |
| 1.9943 4.5228 4.9272 |
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