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 (11,-8, 20)Z(b) v-(13-14)(c) w=(2, -6,10)W =(d) 11-(2,1,-1)Need Help?Read It$₁Watch It

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Answered: Write each vector as a linear…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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 = Z = V = (b) v-(18,-) 4 W = = (1, -3, 5) (d) (c) w = (4, -7, 13) U= V= ) ₁₁ + ( [ 59 50) u =(3, 1, -1) + )5₁ + (
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 = (3, -4, 8) Z = 1 27 (b) v = |8, 4 4 v = + (c) w = (3, -9, 15) w = (d) u = (7, 1, -1) u = +
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 = (1, -3, 5) S2 Z = 75 (b) 23, 4' 4 V = S2 V = (c) w = (6, -8, 16) %3D S2 W = (d) u = (9, 1, –1) S2 u = +
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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 = (11,-8, 20) Z = (b) V = (c) W = (d) u = v = (18,-1, 50) W = (4, -7, 13) S₁ + u =(3, 1, -1) S₁ + )$₁ S1 + S₁ + ) $₂ S2
Find the value
Sp
6. -2 Write -7 as a linear combination of the vectors 4 -1 一日一日一日 6. -2 -7 2 4
Express the vector -9-7x- 15x² as a linear combination of p₁ = 2 + x +4x², p₂ = 1- x + 3x² and p3 3 + 2x + 5x²
Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S = {(2, -1, 3), (5, 0, 4)) z=(5, -5, 11) z = (b) V = (c) w (3,-9, 15) W = (d) U= v = (13,-1, 43) )s₁ u= (1, 1, -1) + ) s₁ - + )S₁ + $₂ )$₂

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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- (11,-8, 20) (b) v-(13-14) V= (c) w=(2,-6, 10) W (d) -(2,1,-1) "-([ Need Help? Read It (5₁ Watch It (5₂