>>13562494Try working on some more theoretical problems, low level proofs and stuff. You can get some pretty tricky questions. For instance, here's a nice one if you're just starting:
Show that the vectors d_i = [1, ... , 1, 0 , 1, ... , 1] (a single 0 in the ith spot and the rest are 1s) in R^n for i = 1,...., n are linearly independent. (Tip: do not do row reduction or any long calculations)
