# Show that in every set p2 with more than three vectors is linearly dependent.

#### delgeezee

##### New member
i know S = { $$\displaystyle 1 , x, x^2$$} is linearly dependent set for p2. where $$\displaystyle (a_0, a_1, a_2) = (0,0,0)$$
I wanted to use the Wronskian on { $$\displaystyle 1 , x, x^2, x^3$$} , but as I understand, it only proves linear independence and not the converse.

#### Klaas van Aarsen

##### MHB Seeker
Staff member
i know S = { $$\displaystyle 1 , x, x^2$$} is linearly dependent set for p2. where $$\displaystyle (a_0, a_1, a_2) = (0,0,0)$$
I wanted to use the Wronskian on { $$\displaystyle 1 , x, x^2, x^3$$} , but as I understand, it only proves linear independence and not the converse.
Hi delgeezee!

Can you elaborate?
For starters, what do you mean by p2?
And how do your $a_i$ tie in?