Mathematica: How to check if two homogeneous systems of linear equations are equivalent?

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How to check if two homogeneous systems of linear equations are equivalent?
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(mathematica.stackexchange.com/users/87122/internet)internet
(mathematica.stackexchange.com/users/53427/e-chan-l%c3%b3pez)E. Chan-López
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(mathematica.stackexchange.com/users/46318/daniel-huber)Daniel Huber
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linear-algebra equation-solving




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