Exercise 1.7.19

Answers

If a diagonal entry sjj of a symmetric matrix is smaller than all the λ’s, then S sjjI would have positive eigenvalues (S sjjI = QT sjjI = Q(Λ sjj)QT) and would be positive definite. But S sjjI has a 0 on the main diagonal, impossible by Problem 18.

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2020-03-20 00:00
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