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  • 5 years ago

question: there are two systems of MXN non homogeneus equations: they both are from Ax=b type and their redused A is the same. the first system c' has infinit number of solution does the other one(c) has infinit number of solutions too . ? i know that its wrong but in this course i have a list of laws regarding systems of equations and if the answer was "yes" then i should have prove it. but i dont know why by the laws its impossible???(so i need to look for contradicting example)

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  1. nowhereman
    • 5 years ago
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    I don't know what you mean by 'reduced A', but if the linear functions functions are the same, the solutions of the two equations only differ by a constant vector and thus there are equally many solutions for both.

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