Letxbe am- vector,Abe an m x n matrix, show that

(1) infinity normx<= 2nd normx<=square root (m)*infinity normx

(2) [1/square root(n)] * infinitynormA <=2nd norm A

<=

square root (m)*infinity norm A

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- Sep 18th 2008, 12:57 AMtinngVector Norm and Matrix Norm
Let

*x*be a*m*- vector,*A*be an m x n matrix, show that

(1) infinity norm*x*<= 2nd norm*x*<=*square root (m)******infinity norm*x*

(2) [1/square root(n)] * infinity*norm*A <=2nd norm A

<=

*square root (m)******infinity norm A - Sep 18th 2008, 10:49 AMMoo