How did you come to those conclusions?
Thanks. I got my answer nowSince \(\displaystyle v= v_1+ v_2+ v_3\) and \(\displaystyle v=v_1+ 4v_2- 5v_3\) it follows that \(\displaystyle v_1+ v_2+ v_3= v_1+ 4v_2- 5v_3\) so subtracting \(\displaystyle v_1+ v_2+ v_3\) from both sides, \(\displaystyle 0= 3v_2- 4v_3\). Now what does that tell you?
If you have "n" independent vectors in an n-dimensional space they must span the space.
What is the definition of "basis" for a vector space?
My new answer is never, sometimes and alwaysYour initial answers were wrong. What are your new answers? By the way I think it's – 6v_3 above.
Sounds good to me.My new answer is never, sometimes and always
Oh wait a minute, need to take another look at 3.Your initial answers were wrong. What are your new answers? By the way I think it's – 6v_3 above.
My reasoning is that if for 1) v2 depends on v3, they are never linearly independentNow can we see your work?