Is Theorem 5.54 true as stated for complex matrices? If not, can you formulate a similar theorem

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Is Theorem 5.54 true as stated for complex matrices? If not, can you formulate a similar theorem that is true? What is the Fredholm alternative for complex matrices?
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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