Abstract
Recall that an n × n matrix B is similar to an n × n matrix A if there is an invertible n × n matrix P such that B = P -1AP. Our objective now is to determine under what conditions an n × n matrix is similar to a diagonal matrix. In so doing we shall draw together all of the notions that have been previously developed. Unless otherwise specified, A will denote an n × n matrix over IR or ℂ.
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© 2002 Springer-Verlag London Limited
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Blyth, T.S., Robertson, E.F. (2002). Eigenvalues and Eigenvectors. In: Basic Linear Algebra. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-1-4471-0681-4_9
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DOI: https://doi.org/10.1007/978-1-4471-0681-4_9
Publisher Name: Springer, London
Print ISBN: 978-1-85233-662-2
Online ISBN: 978-1-4471-0681-4
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