(a) How does matrix rank interact with scalar multiplication-can a scalar product of a rank n matrix...

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(a) How does matrix rank interact with scalar multiplication-can a scalar product of a rank n matrix have rank less than n? Greater?
(b) How does matrix rank interact with matrix addition-can a sum of rank n matrices have rank less than n? Greater?

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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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(a) How does matrix rank interact with scalar multiplication-can a scalar product of a rank n matrix...

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a Scalar multiplication leaves the rank of a matrix ...View the full answer

Linear Algebra

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