Justify that the vectors are linearly dependent – math.stackexchange.com

Let $V$ be a real vector space and $a,b,c,d,e\in V$. We have the vectors \begin{align*}&v_1=a+b+c \\ &v_2=2a+2b+2c-d \\ &v_3=a-b-e \\ &v_4=5a+6b-c+d+e \\ &v_5=a-c+3e \\ ...

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