Well, this is a homewrok question (which I know I should not be asking, but I cannot find an answer to this anywhere):
The exercise is as follows: i) Find the equation of the plane of R3 that contains the following three points: (0,0,1),(-1,3,5) and (1,-1,0) ii) Prove using an example that there is no plane on R3 that contains every group of 4 points
So I have managed to solve (i) using a lot of google and a third party tool (my notes are not all that good), but I cannot find (ii) anywhere. Can someone prove this providing an example and explaining it properly so that I can understand the reason this is impossible?
Thanks in advance!
P.S: This is an exercise from a course on Matrixes and how to solve Systems using matrices, in case anyone wants to know.