Let A be an n Atilde n matrix with eigenvalues Icirc raquo 1, , Icirc raquo k and B an m Atilde m matrix with eigenvalues Icirc frac14 1, , Icirc frac14 1 Show that the (m n) x (m n) block diagonal matrix has eigenvalues Icirc raquo 1, , Icirc raquo k, Icirc frac14 1, , Icirc frac14 1 and no others...

Note first that if Av v then is an eigenvector for D with eigenvalu ...

Let A be an n Ã n matrix with eigenvalues Î»1,..., Î»k. and B an m Ã

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Let A be an n Ã— n matrix with eigenvalues Î»1,..., Î»k. and B an m Ã— m matrix with eigenvalues Î¼1, ..., Î¼1. Show that the (m + n) x (m + n) block diagonal matrix

has eigenvalues Î»1, ..., Î»k, Î¼1, ..., Î¼1 and no others. How are the eigenvectors related?

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 09:06 AM

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Let A be an n Ã n matrix with eigenvalues Î»1,..., Î»k. and B an m Ã

Question:

A O 9 D=

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Note first that if Av v then is an eigenvector for D with eigenvalu...View the full answer

Applied Linear Algebra

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