(a) Show that AX = B has a solution if and only if rank A = rank[A...

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(a) Show that AX = B has a solution if and only if rank A = rank[A B].
(b) lf [AX] = B has no solution, show that rank[A B] = 1 + rank A

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Linear Algebra With Applications

ISBN: 9780070985100

7th Edition

Authors: W. Keith Nicholson

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Question Posted: Jun 21, 2016 06:39 AM

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(a) Show that AX = B has a solution if and only if rank A = rank[A...

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b Let c 1 c r be a basis of col A where r rank A Since Ax b has no solution ...View the full answer

Linear Algebra With Applications

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