How does matrix rank interact with matrix multiplication? (a) Can the product of rank n matrices have

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How does matrix rank interact with matrix multiplication?
(a) Can the product of rank n matrices have rank less than n? Greater?
(b) Show that the rank of the product of two matrices is less than or equal to the minimum of the rank of each factor.

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 02:04 AM

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How does matrix rank interact with matrix multiplication? (a) Can the product of rank n matrices have

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a The product of rank n matrices can have rank less than or equal to n but not greater than n To see ...View the full answer

Linear Algebra

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