Show that the vectors are linearly dependent by finding a vector in the list that is linear combination of predessors. Specify the first vector in the list with this property

Question

anonymous · Answer

im suppose to be able to do this with just inspection? for v_1(8, -6, 2) v_2=(4, -3, 1) v_3=(0,0,7)

anonymous · Answer

v_1 looks like it's linear combination of v_2 and v_3.. I see how v_2 can become v_1 but I don't know about v_3

anonymous · Answer

thats all you really need.  just say that:
$$v_1 = 2v_2+0v_3$$
that shows they are linearly dependent

anonymous · Answer

umm what does it mean by specify the first vector in the list? just make it equal to the equation?

anonymous · Answer

i guess it just means pick the first vector in the list that can be expressed as a linear combination of the other two.  not really sure, the question is worded funny >.<

anonymous · Answer

alright thanks!