Let V R n be an invariant subspace for the n n matrix A. Explain

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Let V ⊂ Rⁿ be an invariant subspace for the n × n matrix A. Explain why every eigenvalue and eigenvector of the linear map obtained by restricting A to V are also eigenvalues and eigenvectors of A itself.

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Applied Linear Algebra

ISBN: 9783319910406

2nd Edition

Authors: Peter J. Olver, Chehrzad Shakiban

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Question Posted: Apr 30, 2023 02:56 AM

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Let V R n be an invariant subspace for the n n matrix A. Explain

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Let B be the linear map generated by confining A to V with respect to a basis for ...View the full answer

Applied Linear Algebra

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