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By a (natural) logarithm of a matrix B we mean a matrix A such that eA B. (a) Explain

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By a (natural) logarithm of a matrix B we mean a matrix A such that eA ‰¡ B.
(a) Explain why only nonsingular matrices can have a logarithm.
(b) Comparing Exercises 9.4.6-8, explain why the matrix logarithm is not unique.
(c) Find all real logarithms of the 2 x 2 identity matrix
By a (natural) logarithm of a matrix B we mean

Use Exercise 9.4.21.

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a All matrix exponentials are nonsingular by the remark after 9 44 …View the full answer


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Applied Linear Algebra

Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: June 18, 2016 08:52:36
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