Let T: M22 -> M22 be given by T(X) = AX, where A is a fixed 2

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Let T: M22 -> M22 be given by T(X) = AX, where A is a fixed 2 Ã— 2 matrix.
(a) Compute MB(T), where

Note the order!
(b) Show that cT(x) = [CA(x)]2.
(c) If the inner product on M22 is
(X, Y) = tr(XYT), show that T is symmetric if and only if A is a symmetric 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 06:52 AM

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Let T: M22 -> M22 be given by T(X) = AX, where A is a fixed 2

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B= 0 0 0 0

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b Write A And comput...View the full answer

Linear Algebra With Applications

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