Linear Algebra
posted by Jervis
Show that the set [(3,2,4),(1,2,1), (6,4,8) is linearly dependent by writing a nontrivial liner combination of the vectors that equals the zero vector.
After some calculations I got t1=2, t2=0 and t3=1, but its my understanding that if a set is dependent, none of the t's can equal 0. Is this correct?

MathMate
Your answer is correct.
The fact that t2=0 means that t1 and t3 are linearly dependent, resulting in two independent variables in R3. This is still a linear dependent set.
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