(a) Is it possible for a quadratic form to be positive, q(x+) > 0, at only one...

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(a) Is it possible for a quadratic form to be positive, q(x+) > 0, at only one point x + ∈ Rn?
(b) Under what conditions is q(x0) = 0 at only one point?

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 08:39 AM

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(a) Is it possible for a quadratic form to be positive, q(x+) > 0, at only one...

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a No by continuity Or equivalently q cx c 2 qx 0 ...View the full answer

Applied Linear Algebra

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