If A and B are n x n matrices, show that they have the same null space

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If A and B are n x n matrices, show that they have the same null space if and only if A = UB for some invertible matrix U.
[Hint: Exercise 28 §7.3.]

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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 06:49 AM

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If A and B are n x n matrices, show that they have the same null space

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Assume that A and B are both n n and that null A null B Define T A ...View the full answer

Linear Algebra With Applications

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