Recent content by larusi

You're right, it's useless for anything else than a thought experiment for me to learn linear algebra :approve: I didn't state that they were linearly independent, positive scalar is the key. This set is an example: C = {<1, 0>, <0, 1>, <-1, 0>,<0, -1>} 4 vectors in R^2 where none are the...

Not exactly. My reasoning was that if I had f.e. C = {<1, 0>, <0, 1>, <-1, 0>,<0, -1>} and the premise was that they were linearly independent I could state that they were orthogonal. What I failed to notice was that these are of course linearly dependent vectors. This would however hold: In...

Ah, I failed to note that the number of linearly independent vectors you could have was limited. Thanks Mark44, that clears things up. chogg, I understand the theorem - I was wondering under what circumstances the reverse was true.

Hi, I'm reading up on linear algebra and I'm wondering if the remark after a theorem I'm reading here is complete. The theorem states: "If {V_1,V_2,...,V_k} is an orthogonal set of nonzero vectors then these vectors are linearly independent." Remark after that simply states that if a set of...