(See Solution) Let S=(1,0,-3,2),(0,1,2,-3),(1,-3,-8,7). Show that u=(2,1,-5,5) can be expressed as a linear combination of vectors in S. Find all vectors

Question: Let $S=\{(1,0,-3,2),(0,1,2,-3),(1,-3,-8,7)\}$.

Show that $\vec{u}=(2,1,-5,5)$ can be expressed as a linear combination of vectors in $\mathrm{S}$.
Find all vectors in $\Re^{4}$ that can be expressed as a linear combination of vectors in $\mathrm{S}$.

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(See Solution) Let S=(1,0,-3,2),(0,1,2,-3),(1,-3,-8,7). Show that u=(2,1,-5,5) can be expressed as a linear combination of vectors in S. Find all vectors

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