if A is a square matrix(adsbygoogle = window.adsbygoogle || []).push({});

Ax = 0 has exactly one solution if and only if Ax = b has at least one solution for every vector b.

why is this true?

I am new to this if you can tell...

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# Question Ax = 0 has only trivial solution and Ax = b has 1+ solution for every b

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