Okay I have two questions that I don't really understand from my textbook, so if somebody could explain them out for me i'd be real grateful.
First, If Ax = b has a solution, explain why the solution is unique precisely when Ax = 0.
Secondly, if b =/= 0 can the solution set of Ax = b be a plane throught the origin?
For the first question I'm not really sure what why its unique, so help would be appreciated.
For the 2nd question I don't think that the solution set of Ax=b can be through the origin because the b values translate it. I'm not sure about this, so someone correct me if I'm wrong.