A planar vector field v(.x, y) = (u(x, y), v(x, y))T is called irrotational if it has

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A planar vector field v(.x, y) = (u(x, y), v(x, y))T is called irrotational if it has zero divergence:

Prove that the set of all irrotational vector fields forms a subspace of the space of all vector fields.

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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 08:29 AM

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A planar vector field v(.x, y) = (u(x, y), v(x, y))T is called irrotational if it has

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du au ax ay

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cv dw c v ...View the full answer

Applied Linear Algebra

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