(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose A is m*n matrix b1 and b2 are m*1 vector and the systems Ax=b1 and Ax=b2 are consistent. Is the system Ax=b1+b2 necessarily consistent?

2. Relevant equations

3. The attempt at a solution

I think Ax = b1 + b2 should be consistent but i dont know how to prove..

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# Ax=b1 and Ax=b2 are consistent. Is the system Ax=b1+b2 necessarily consistent?

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