Let A be a complete square matrix, not necessarily symmetric, with all positive eigenvalues. Is the associated

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Let A be a complete square matrix, not necessarily symmetric, with all positive eigenvalues. Is the associated quadratic form q(x) = x^TA x > 0 for all x ≠ 0?

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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 A be a complete square matrix, not necessarily symmetric, with all positive eigenvalues. Is the associated

Question:

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Yes the associated quadratic form qx xT A x is positive definite whic...View the full answer

Applied Linear Algebra

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