(a) Let A be a 2 x 2 matrix such that tr A = 0 and ...

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(a) Let A be a 2 x 2 matrix such that tr A = 0 and δ = √det A > 0. Prove that eA = (cos δ) I + sin δ/δ A. Use Exercise 8.2.51.
(b) Establish a similar formula when det A < 0.
(c) What if det A =0?
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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