Let S be a real and nonsingular matrix, and let ' be any norm on R n Define ' by x Sx Show that ' is also a norm on R n ...

Since x 0 implies Sx 0 we hav ...

Let S be a real and nonsingular matrix, and let ||||' be any norm on R n

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Let S be a real and nonsingular matrix, and let ||·||' be any norm on Rⁿ. Define ||·||' by ||x|| = ||Sx||.Show that || · ||' is also a norm on Rⁿ.

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Question Posted: Mar 22, 2016 02:56 AM

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Let S be a real and nonsingular matrix, and let ||||' be any norm on R n

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