Let \( A \) be an \( m \times n \) matrix and \( \delta \in (0, 1) \). Suppose that \( \| A^T A – I \| \leq \delta \). Prove that all singular values of \( A \) are contained in the interval \( (1-\delta, 1+\delta) \).
Daily Archives: November 29, 2019
Notice on POW 2019-18 and 2019-20
POW 2019-18 and POW 2019-20 are still open. For each question, anyone who first submits a correct solution will get the full credit.