Find the singular values of A = ( 1 0 1 0 0 1 ) {\displaystyle A={\begin{pmatrix}1&0\\1&0\\0&1\end{pmatrix}}}
Then determine the diagonal matrix Σ {\displaystyle \Sigma } in the singular value decomposition A = U Σ V T {\displaystyle U\Sigma V^{T}} .
