If A is an m x n matrix of rank r, then a rank factorization of A
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If A is an m x n matrix of rank r, then a rank factorization of A is an equation of the form A = CR, where C is an m x r matrix of rank r and R is an r x n matrix of rank r. Show that such a factorization always exists. Then show that given any two m x n matrices A and B. rank(A + B) ≤ rank A + rank B
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Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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