Let be fixed 2 Atilde 2 matrices For each of the following functions, prove that L M2 Atilde 2 M2 Atilde 2 defines a linear map, and then find its matrix representative with respect to the standard basis of M2 Atilde 2 (a) L X AX (b) R AT XB (c) K X AX B ) p q a A B d...

a LcX dY AcX dY cAX dAY cLX dLY matrix repre ...

Let be fixed 2 Ã 2 matrices. For each of the following functions, prove that L: M2Ã2

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Let be fixed 2 Ã— 2 matrices. For each of the following functions, prove that L: M2Ã—2 †’ M2Ã—2 defines a linear map, and then find its matrix representative with respect to the standard basis

of M2Ã—2.
(a) L[X] = AX
(b) R[AT] = XB
(c) K[X] = AX B

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 08:57 AM

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Let be fixed 2 Ã 2 matrices. For each of the following functions, prove that L: M2Ã2

Question:

:). p q a A = B = d

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Applied Linear Algebra

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