Can anybody tell me how I can check collinearity in $\mathbb{R}³$ ? I have multiple points, which I need to check for collinearity. According to wiki, I can do this by looking at the rank of a matrix (if I write those points into the matrix columns). My problem is that these points are e.g. noisy and therefore never form an ideal line, although they are very close to form one. So I want to figure out if these points are very close to form a line and not actually form a perfect line. Does anybody has a hint?
Thanks in advance
Horsti