Let V = M22 and let L : V V be the linear operator defined by L(A)

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Let V = M22 and let L : V †’ V be the linear operator defined by L(A) = AT, for A in V. Let S = {A1, A2, A3, A4}, where

(a) Find [L(Ai)]s for i = 1,2,3,4.
(b) Find the matrix B representing L with respect to 5.
(c) Find the eigenvalues and associated eigenvectors of B.
(d) Find the eigenvalues and associated eigenvectors of L?

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Elementary Linear Algebra with Applications

ISBN: 978-0132296540

9th edition

Authors: Bernard Kolman, David Hill

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Question Posted: Jun 21, 2016 07:51 AM

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Let V = M22 and let L : V V be the linear operator defined by L(A)

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0 10 00 0 10 00 0

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a b c The eigenvalues of L are 1 1 2 1 of multiplicity 3 An eigen...View the full answer

Elementary Linear Algebra with Applications

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