Suppose that the linear system Ax=b is given for some symmetric A, and it is known that vector c spans the null-space of A.(adsbygoogle = window.adsbygoogle || []).push({});

How could one formally show that if b is not orthogonal to c, the solution to the system Ax=b does not exist?

To remind you, the null-space of A contains all vectors u for which Au=0.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Existent solution to the linear system Ax=b

**Physics Forums | Science Articles, Homework Help, Discussion**