In Exercises 13-16, define T: R2 R2 by T(x) = Ax. Find a basis B for R2

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In Exercises 13-16, define T: R2 †’ R2 by T(x) = Ax. Find a basis B for R2 with the property that [T]B is diagonal.
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Linear Algebra and Its Applications

ISBN: 978-0321791542

4th edition

Authors: David C. Lay

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Question Posted: May 02, 2016 12:06 PM

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In Exercises 13-16, define T: R2 R2 by T(x) = Ax. Find a basis B for R2

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4 0 2 3

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1 Start by diagonalizing A The characteristic polynomial is 2 4 3 1 3 so the eigenvalues of A are 1 ...View the full answer

Linear Algebra and Its Applications

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