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 Theorem: Partition by rows and columns: o    Then o    See proof

Proof: We will prove (\ref{eqn:nrm1inf1}), leaving the other results as an exercise.

The proof strategy will be to show that

This shows that .

Now, let equal the index such that and let equal the th unit basis vector. Recall that . Then

This shows that .

LinearAlgebraWiki: Norm/Theorem3/proof (last edited 2008-01-28 04:52:46 by MarthaGanser)