Exercise11.4

Show that for any matrix \(A \in \Rmm\text{,}\)

  1. \begin{equation*} \|A\|_\infty = \max_{i=1, \dots, m} \sum_{j=1}^m |a_{i,j}|. \end{equation*}
  2. \begin{equation*} \|A\|_1 = \max_{j=1, \dots, m} \sum_{i=1}^m |a_{i,j}|. \end{equation*}
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