lve the problem. -1 -6 22) Let a1 = 1 a2 = and b = -22 -2 -20 Determine whether b can be written as a linear combination of aj and a2. In other words, determine whether weights x1 and x2 exist, such that x1 a1 + x2 a2 b. Determine the weights x1 and x2 if possible. A) x1 = -2, x2 =-3 B) x1 = -1, x2 = -5 C) x1 = -2, x2 = -4 D) No solution

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
Problem 32P
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Solve the problem.
-1
-6
22) Let a1 =
1
a2
and b = -22
-2
-20
Determine whether b can be written as a linear combination of aj and a2. In other words, determine whether
weights x1 and x2 exist, such that x1 a1 + x2 a2 b. Determine the weights x1 and x2 if possible.
B) x1 = -1, x2 = -5
C) x1 = -2, x2 = -4
D) No solution
A) x1 = -2, x2 =-3
Transcribed Image Text:Solve the problem. -1 -6 22) Let a1 = 1 a2 and b = -22 -2 -20 Determine whether b can be written as a linear combination of aj and a2. In other words, determine whether weights x1 and x2 exist, such that x1 a1 + x2 a2 b. Determine the weights x1 and x2 if possible. B) x1 = -1, x2 = -5 C) x1 = -2, x2 = -4 D) No solution A) x1 = -2, x2 =-3
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