Question: Express the vector (mathbf{v}=(1,2,3)) as a linear combination of the vectors (mathbf{a}_{1}=(1,1,1), mathbf{a}_{2}=(1,0,-2)), and (mathbf{a}_{3}=(2,1,0)).

Express the vector $\mathbf{v}=(1,2,3)$ as a linear combination of the vectors $\mathbf{a}_{1}=(1,1,1), \mathbf{a}_{2}=(1,0,-2)$, and $\mathbf{a}_{3}=(2,1,0)$.

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