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 +

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Question

Sp

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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