Linearly dependent

1. Feb 24, 2009

sana2476

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

2. Feb 24, 2009

Newton V

wait 1 second, can you show us your work?

B does NOT= to B'

3. Feb 24, 2009

sana2476

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

4. Feb 24, 2009

HallsofIvy

Staff Emeritus
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.

5. Feb 24, 2009

Staff: Mentor

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.

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