This is NOT for a graded paper, as my other thread was closed. I have a test on Friday, and I'm trying to understand spans. I just attached it because I thought it would be better formatted.
Here are the typed questions instead:
Show that the vectors (1,2-1),(3,1,1),(1,1,0),(1,-3,3) are linearly dependent by writing the zero vector as a nontrivial linear combination of them.
When is the vector (x,y,z) in the span of {(1,2-1),(3,1,1)(1,-3,3)}?
Hope that's better, as I still need some help.
Thanks
That's for the first question. And I hope you understand that there always exists the so called trivial solution, that is a=b=c=0. The given vectors are linearly-dependent if and only if there also exist non-trivial solutions of this system of linear equations.
I have already given the answer to the second question.