Prove that the spectral radius function does not satisfy the triangle inequality by finding matrices A, B

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Prove that the spectral radius function does not satisfy the triangle inequality by finding matrices A, B such that ρ(A + B) > ρ(A) + ρ(B).

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Applied Linear Algebra

ISBN: 9783319910406

2nd Edition

Authors: Peter J. Olver, Chehrzad Shakiban

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Question Posted: Apr 28, 2023 08:40 AM

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Prove that the spectral radius function does not satisfy the triangle inequality by finding matrices A, B

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Consider the following matrices A 1 0 0 2 B 0 1 0 0 The spectral radius of A ...View the full answer

Applied Linear Algebra

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