Let A be a 2 2 matrix, and let LA be the linear operator defined by

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Let A be a 2 × 2 matrix, and let LA be the linear operator defined by
LA(x) = Ax
Show that
(a) LA maps R2 onto the column space of A.
(b) If A is nonsingular, then LA maps R2 onto R2.

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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 12:53 AM

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Let A be a 2 2 matrix, and let LA be the linear operator defined by

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a LR 2 Ax x R 2 x 1 a 1 x 2 a 2 x 1 x ...View the full answer

Linear Algebra with Applications

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