(1,0,0) (-3,7,0) and (1,1,0)(adsbygoogle = window.adsbygoogle || []).push({});

I'm trying to work out if these vectors are linearly independent or not.

Intuitively i believe they are dependent as they span the xy-plane.. but then how do i work out the linear combinations.

e.g:

(1,0,0) = a(-3,7,0) + b(1,1,0) where a and b are real numbers.

Ive tried writing the vectors as column vectors, then row reducing and i end up with

[1 -10 0;0 7 1;0 0 0] (which has rank(2) which means they are linearly dependent)

but as for where to go from here I'm lost.

Any help greatly appreciated.

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# Homework Help: Linear dependence

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