Let M denote a matrix norm on Rnn, V denote a vector norm on Rn, and I be the nn

Chapter 7, Problem 8

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Let M denote a matrix norm on Rnn, V denote a vector norm on Rn, and I be the nn identity matrix. Show that (a) If M and V are compatible, then I M 1. (b) If M is subordinate to V , then I M = 1.

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