Linearly Dependent Vectors: u,v,w

[sana2476]

If au + Bv + yw = a'u +B'v+y'w and a=a', then u,v,w are linearly dependent

 

[Newton V]

wait 1 second, can you show us your work?

B does NOT= to B'

 

[sana2476]

The only thing that's given is the fact that a=a'...im guessing that would mean B=B' but I am not sure

 

[HallsofIvy]

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.

 

[Mark44]

If au + Bv + yw = a'u +B'v+y'w and a=a', then u,v,w are linearly dependent

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.