The matrix is
$$\pmatrix{1 &0 &-1\\ -1& 0& 1}$$
The $\Sigma$ matrix I get is
$$\pmatrix{2& 0& 0\\ 0& 0& 0}$$
which is not invertible, so I can't calculate $U$.
2026-03-28 01:48:26.1774662506
How do you calculate the SVD when $\Sigma$ is not invertible?
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