# Math Help - Forms a linearly dependent set?

1. ## Forms a linearly dependent set?

I've never seen a question in this type of format before, so I'm stumped. Do I have to try writing it out as a linear combination? Where do I begin?

2. Originally Posted by DarK
I've never seen a question in this type of format before, so I'm stumped. Do I have to try writing it out as a linear combination? Where do I begin?

Thanks alot!
Write out the coefficient matrix for $x_1, x_2, x_3$

3. Originally Posted by DarK
I've never seen a question in this type of format before, so I'm stumped. Do I have to try writing it out as a linear combination? Where do I begin?

Thanks alot!

Check that $ax_1+bx_2+cx_3=0$ has a solution different from $a=b=c=0$ ...it's pretty easy, and in fact there are at least as many different solutions to this as elements the definition field has.

Tonio