Let T R 2 R 2 be given by T(a, b) (b a, a 2b) Show that T is symmetric if the dot product is used in R 2 but that it is not symmetric if the following inner product is used 1 1 (x, y) xAy , A 1 2 ...

Assume that S Su O T where u is in V and T is an ...

Let T: R 2 R 2 be given by T(a, b) = (b a, a + 2b).

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Let T: R²†’ R²be given by T(a, b) = (b €“ a, a + 2b). Show that T is symmetric if the dot product is used in R²but that it is not symmetric if the following inner product is used:

1 -1 (x, y) = xAy

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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 06:52 AM

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Let T: R 2 R 2 be given by T(a, b) = (b a, a + 2b).

Question:

1 -1 (x, y) = xAy", A =_ -1 2.

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Assume that S Su O T where u is in V and T is an ...View the full answer

Linear Algebra With Applications

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