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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 = (7, -6, 14) Z= (b) V= 13, - 1 43 +

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 = (7, -6, 14) Z= (b) V= 13, - 1 43 +

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.1: Vector In R^n
Problem 27E: Determine whether each vector is a scalar multiple of z=(3,2,5). a v=(92,3,152) b w=(9,6,15)
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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 = (7, -6, 14) Z = (b) V = (c) W = (d) U = 1 43 v - (13, -4,4) V W = : (4, −7, 13) U = (6, 1, -1) + )₁₁ + ( [ )₁₁ + )$₁ + 152 )$₂ ) $₂
Transcribed Image Text:Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S = {(2, 1, 3), (5, 0,4)} (a) Z = (7, -6, 14) Z = (b) V = (c) W = (d) U = 1 43 v - (13, -4,4) V W = : (4, −7, 13) U = (6, 1, -1) + )₁₁ + ( [ )₁₁ + )$₁ + 152 )$₂ ) $₂
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