Let a1 a2 3 , and b = -18 Determine whether b can be written as a linear combination of a1 and a2. In other words, determine whether weights x1 and x2 exist, such that x1a1 + x2a2 = b. Determine the weights x1 and x2 if possible. O x1 = 2, x2 = -2 O x1 = 3, x2 = -3 O x1 = 2, x2 = -1 No solution

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 45E
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Question 4
Let
a1
a2
3 , and b
-18
Determine whether b can be written as a linear combination of
a1 and a2. In other words, determine whether weights x1 and x2 exist, such that x1a1 + x2a2 = b.
Determine the weights x1 and x2 if possible.
X1 = 2, x2 = -2
X1 = 3, x2 = -3
X1 = 2, x2 = -1
No solution
II
Transcribed Image Text:Question 4 Let a1 a2 3 , and b -18 Determine whether b can be written as a linear combination of a1 and a2. In other words, determine whether weights x1 and x2 exist, such that x1a1 + x2a2 = b. Determine the weights x1 and x2 if possible. X1 = 2, x2 = -2 X1 = 3, x2 = -3 X1 = 2, x2 = -1 No solution II
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