Linearly dependent

  • Thread starter sana2476
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  • #1
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If au + Bv + yw = a'u +B'v+y'w and a=a', then u,v,w are linearly dependent
 

Answers and Replies

  • #2
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wait 1 second, can you show us your work?

B does NOT= to B'
 
  • #3
33
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The only thing that's given is the fact that a=a'...im guessing that would mean B=B' but im not sure
 
  • #4
HallsofIvy
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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
34,987
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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.
 

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