Given w in IR, define Tz, : Rn Rn by Tm(X) = wX for all X

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Given w in IR, define Tz, : Rn → Rn by
Tm(X) = wX for all X in Rn. Show that Tw is a linear transformation and find its matrix.

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Linear Algebra With Applications

ISBN: 9780070985100

7th Edition

Authors: W. Keith Nicholson

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Question Posted: Jun 21, 2016 06:29 AM

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Given w in IR, define Tz, : Rn Rn by Tm(X) = wX for all X

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Step by Step Answer:

To see that T is linear write x x 1 x 2 xnT and y y 1 y 2 ynT Then Tx y T x 1 y 1 x 2 y 2 xn ynT ...View the full answer

Linear Algebra With Applications

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