When is vector(x,y,z,w) a linear combination of v1= (-1,1,-1,2) and v2=(1,-1,1,0)? State the answer in terms of equations involving x,y,z,and w.
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When there exists a $\displaystyle k_1$ and $\displaystyle k_2$ such that: $\displaystyle (x,y,z,w)=k_1\mathbf{v_1}+k_2\mathbf{v_2}$ Using the definition of scalar multiplication, you can easily write it out in terms of x,y,z,w.
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