Theorem23.1
\(A\) is the sum of the \(r\) rank-one matrices
\begin{equation*} A = \sum_{j=1}^r \sigma_j u_j v_j^\star. \end{equation*}\(A\) is the sum of the \(r\) rank-one matrices
\begin{equation*} A = \sum_{j=1}^r \sigma_j u_j v_j^\star. \end{equation*}