I have no idea how to tackle this problem.Let A be an matrix. The matrix 2-norm and max norm are defined as and Show that
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Originally Posted by namelessguy I have no idea how to tackle this problem.Let A be an matrix. The matrix 2-norm and max norm are defined as and Show that let fix and suppose is the vector with 1 in the j-th entry and 0 anywhere else. then this proves the left hand side of the inequality. for the right hand side, let first note that by Cauchy-Schwarz we have: thus: since the inequality holds for any we'll get
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