EDB — 11M

Exercises

1. [11M] Show that

   \[ \left\| A \right\| _{1,1} = \max _{1 ≤ j ≤ n} ∑ _{i=1} ^ m | A_{i,j} |, \]
   \[ \left\| A \right\| _{∞,∞} = \max _{1 ≤ i ≤ m} ∑ _{j=1} ^ n | A_{i,j} |~ ~ . \]