Love his lectures but I think there's a little mistake in there, correct me if I'm wrong. Professor Strang said {(1,1,2),(2,2,5),(3,3,8)} makes a basis for R^3, but can't that set of vectors only produce vectors where x1 and x2 are equal? So you cant get (1,0,0) from the vectors and certainly not the entirety of R^3, right? The first and second row would even be the exact same written as a Matrix, so they should be linearly dependent for that reason as well. Again, maybe I'm overlooking something but it doesn't add up for me.Edit: Should have sorted comments by new first, it seems a lot of people saw this too but it didn't make it to the top comments####[['lectures', 'Course_General_Feedback', 'POS'], ['Professor Strang ', 'Instructor', 'POS']]