Let A and B be n n matrices. (a) Show that AB = O if and

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Let A and B be n × n matrices.
(a) Show that AB = O if and only if the column space of B is a subspace of the null space of A.
(b) Show that if AB = O, then the sum of the ranks of A and B cannot exceed n.

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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 A and B be n n matrices. (a) Show that AB = O if and

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a The column space of B will be a subspace of NA if an...View the full answer

Linear Algebra with Applications

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