Let x and y be linearly independent elements of a vector space V. Show that u =

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Let x and y be linearly independent elements of a vector space V. Show that u = ax + by, and v = cx + dy are linearly independent if and only if ad - bc ≠ 0. Is the entire collection x. y, u, v linearly independent?
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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