Explain why an equation Ax = b has a solution if and only if b is orthogonal

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Explain why an equation Ax = b has a solution if and only if b is orthogonal to all solutions of the equation A^Tx = 0.

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Linear Algebra And Its Applications

ISBN: 9781292351216

6th Global Edition

Authors: David Lay, Steven Lay, Judi McDonald

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Question Posted: May 15, 2023 06:37 AM

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Show that if A = A T is a symmetric matrix, then Ax = b has a solution if and only if b is orthogonal to ker A.
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Explain why an equation Ax = b has a solution if and only if b is orthogonal

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Linear Algebra And Its Applications

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