(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that the two sets of vectors

{A=(1,1,0), B=(0,0,1)}

and

{C=(1,1,1), D=(-1,-1,1)}

span the same subspace of R3.

2. Relevant equations

{A=(1,1,0), B=(0,0,1)}

{C=(1,1,1), D=(-1,-1,1)}

3. The attempt at a solution

aA+bB=(a,a,0)+(0,0,b)=(a,a,b)

aC+bD=(a,a,a)+(-b,-b,b)=(a-b,a-b,a+b)

I am confused because I thought the answers would turn out to be equal.. Is this not the way to do it?

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# Homework Help: Show that two sets of vectors span the same subspace

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