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1. [6.25/10 Points] DETAILS LARLINALG8 4.4.001. Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S =
1. [6.25/10 Points] DETAILS LARLINALG8 4.4.001. Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S = {(2, -1, 3), (5, 0, 4)} (a) z = (5, -5, 11) Z : 5 -1 (b) V = 18, 1 59 4 4 V = + (c) w = (8, -9, 19) W = 9 Is , + -2 (d) u = (1, 1, -1) U = -1 s, + 5 2 X X Need Help? Read It Watch It4. [01'5 Points] DETAILS LARLINALGS 4.3.007. Is W a subspace of the vector space? If not, state why. (Select all that apply.) W is the set of all vectors in R3 whose second component is 4. W is a subspace of R3. [3 W is not a subspace of R3 because it is not closed under addition. [:I W is not a subspace of R3 because it is not closed under scalar multiplication. X
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