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A quick question on vectors

  1. Mar 3, 2009 #1
    Suppose that v1,v2,v3 are linearly independent vectors in R^5 and consider the vectors a1,a2,a3 defined by a1=v1+v2-2v3, a2=3v1+v2+4va, and a3=v1+2v2-7v3. Show that at least one of the vectors v1,v2,v3 is not in the span of the vectors a1,a2,a3.

    I am kind of confused. Should I somehow reduce row echelon it? But how would I even set that up given this type of format?

    Thank you!
     
  2. jcsd
  3. Mar 3, 2009 #2

    lurflurf

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    Homework Helper

    a=T.v
    where
    T={{1,1,-2},{3,1,4},{1,2,-7}}
     
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