Let A S n be positive semidefinite. Prove that Distinguish the cases det A = 0

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Let A ∈ Sⁿbe positive semidefinite. Prove that

Distinguish the cases det A = 0 and det A ≠ 0. In the latter case, consider the normalized matrix , where D = diag and use the geometric/arithmetic mean inequality.

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Optimization Models

ISBN: 9781107050877

1st Edition

Authors: Giuseppe C. Calafiore, Laurent El Ghaoui

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Question Posted: Aug 09, 2023 07:04 AM

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Let A S n be positive semidefinite. Prove that Distinguish the cases det A = 0

Question:

n det A ≤ ii. i=1

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where the first inequality follows from the geometricarithmetic me...View the full answer

Optimization Models

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