Let U be an upper triangular matrix. Show that the homogeneous system U x = 0 admits

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Let U be an upper triangular matrix. Show that the homogeneous system U x = 0 admits a nontrivial solution if and only if U has at least one 0 on its diagonal.

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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 08:27 AM

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Let U be an upper triangular matrix. Show that the homogeneous system U x = 0 admits

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If U has only nonzero entries on the diagonal it m...View the full answer

Applied Linear Algebra

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