If the system Ax=b has two known solutions, x1 and x2, true or false that another solution exists. If it does, find another solution.
The Attempt at a Solution
I think it's true. But after that, I don't know.
I'm really lost, but I think I remember learning that given two solutions, any linear combination of the two is also a solution. Does that mean that x1+x2 is a solution?
I'm worried that that is actually a solution to Ax=2b, though.