(Solved): Write each vector as a linear combination of the vectors in 5 . (Use s1 and s2, respectively, ...

Write each vector as a linear combination of the vectors in 5 . (Use $$s_1$$ and $$s_2$$, respectively, for the vectors in the set, If not possble, \&ncer thpossabuE) $$5=\{(1,2,?2),\{2,?1,1)\}$$ (a) $$z=(?13,?1,1)$$ $$z=$$ (b) $$v=(?1,?6,0)$$ $$v=$$ (c) $$w=(?4,?10,18)$$ $$w=$$ (d) $$u=(2,?4,?4)$$ $$\mathrm{u}=$$ Irite each vector as a linear combination of the vectors in 5 . (If not possible, enter IMPOSSIBLE.) $$S=\{(6,?7,8,6),(4,6,?4,1)\}$$ (a) $$\mathbf{u}=(26,55,?40,2)$$ $$\mathbf{u}=(s_1+($$ (b) $$v=\left(\frac{35}{2},\frac{89}{4},?14,\frac{11}{2}\right)$$ $$v=($$ (c) $$w=\left(?6,?17,\frac{29}{8},\frac{51}{8}\right)$$ $$w=()s_1+($$ (d) $$z=\left(6,1,1,\frac{15}{4}\right)$$ $$z=($$ a basis for and the dimension of the subspace $$W$$ of $$R^4$$. $$W=\{(0,8t,t,?t):t$$ is a real number $$\}$$ (a) a basis for the subspace $$W$$ of $$R^4$$ $$\begin{array}{l}\{[\\ \left[\begin{array}{l}?\end{array}\right\}\end{array}$$ (b) the dimension of the subspace $$W$$ of $$R^4$$