Let x and y be nonzero vectors in Rm and Rn, respectively, and let A = xyT.

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Let x and y be nonzero vectors in Rm and Rn, respectively, and let A = xyT.
(a) Show that {x} is a basis for the column space of A and that {yT} is a basis for the row space of A.
(b) What is the dimension of N(A)?

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Linear Algebra with Applications

ISBN: 978-0131857858

7th edition

Authors: Steven J. Leon

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Question Posted: Jun 13, 2016 12:51 AM

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Let x and y be nonzero vectors in Rm and Rn, respectively, and let A = xyT.

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a Since the rows of A are all multiples of y T Thus y T is a basi...View the full answer

Linear Algebra with Applications

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