Let x and y be linearly independent vectors in Rn and let S = Span(x, y). We

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Let x and y be linearly independent vectors in Rn and let S = Span(x, y). We can use x and y to define a matrix A by setting
A = xyT + yxT
(a) Show that A is symmetric.
(b) Show that N(A) = S⊥.
(c) Show that the rank of A must be 2.

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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 12:56 AM

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Let x and y be linearly independent vectors in Rn and let S = Span(x, y). We

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a A is symmetric since A T xy T yx T T xy T T yx T T y T T x T x T T y T yx ...View the full answer

Linear Algebra with Applications

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