Question: Write each vector as a linear combination of the vectors in S . (Use s 1 and s 2 , respectively, for the vectors in

Write each vector as a linear combination of the vectors in S. (Use s1 and s2, respectively, for the vectors in the set. If not possible, enter IMPOSSIBLE.)

S = {(1, 2, ?2), (2, ?1, 1)}

(a) z = (?13, ?1, 1)

z=?

(b) v = (?2, ?5, 5),

v=?

(c) w = (?5, ?20, 20)

w=?

(d) u = (1, ?4, ?4)

u=?

Write each vector as a linear combination of the vectors in S.

Write each vector as a linear combination of the vectors in 5. (Use 51 and 52, respectively, for the vectors in the set. If not possible, enter IMPOSSIBLE.) S = {(1. 2. -2). (2. -1, 1)} (a) z = (-13. -1. 1) z=1 X (b) v = (-2, -5, 5) X (c) w = (5, 20, 20) w = 20 X (d) ll = (ll -4l _4) u = IMPOSSIBLE

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