Linearly dependent (1 Viewer)

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

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
 

HallsofIvy

Science Advisor
41,626
821
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.
 
31,919
3,891
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.
 

The Physics Forums Way

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top