Suppose 1 , 2 are two norms on R n .
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Suppose ΙΙ · ΙΙ1, ΙΙ · ΙΙ2 are two norms on Rn. Prove that the corresponding matrix norms satisfy for any n × n matrix A for some positive constants
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c* ||A||1 < ||A|2
c* ||A||1 < ||A|2
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ANSWER Let A be any n n matrix We have to show that 12A A1 A2 2A A1 where A1 and A2 are the matrix n...View the full answer
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