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This bound is not tight for normal matrices. If A is normal and N N, then |||A|||2 c |||A|||1 for a constant c that is

This bound is not tight for normal matrices. If A is normal and N N, then |||A|||2 c |||A|||1 for a constant c that is much smaller than N in general. Determine (and prove) the best value for c. Hint. Think about spectral radius

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