If au + Bv + yw = a'u +B'v+y'w and a=a', then u,v,w are linearly dependent
wait 1 second, can you show us your work?
B does NOT= to B'
The only thing that's given is the fact that a=a'...im guessing that would mean B=B' but im not sure
This is NOT a tutorial so I am moving it to Homework.
And "If au + Bv + yw = a'u +B'v+y'w and a=a', then u,v,w are linearly dependent"
is certainly NOT true. Take B= B'= y= y'= 0. The condition is simply that au= au which tells us absolutely nothing about u, v, w.
As a side note, it would be helpful for you to be consistent with the letters you use. How did you happen to pick a, B, and y?
Apparently u, v, and w are vectors, so it would be good to use letters for scalars that won't be confused as vectors, say a, b, and c, or c1, c2, and c3.
Separate names with a comma.