Show that the functions f(x) = x and g(x) = |x| are linearly independent when considered as

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Show that the functions f(x) = x and g(x) = |x| are linearly independent when considered as functions on all of R, but are linearly dependent when considered as functions defined only on R+ = (U > 0).

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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 08:31 AM

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Show that the functions f(x) = x and g(x) = |x| are linearly independent when considered as

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When x 0 we have fx gx 0 proving linear depen...View the full answer

Applied Linear Algebra

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