Solve the problem. Let a1 = 4 , az = 2 ,and b = 22 -21 Determine whether b can be written as a linear combination of a, and az. In other words, determine whether weights x1 and x2 exist, such that x1 a1 + X2 a2 = b. Determine the weights x, and x2 if possible. Select one: A.x'= 4, x²= 3 B.x' = 5, x²= 2 C.No solution D.x'= 4, x²= 4

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
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Solve the problem.
4
Let a1 =
4
az =
2, and b =
22
-21
Determine whether b can be written as a linear combination of a, and a2. In other words, determine whether weights x, and x2 exist, such that x1 a1
+ X2 az = b. Determine the weights x, and x2 if possible.
Select one:
A.x'= 4, x²= 3
B.x'= 5, x²= 2
C.No solution
D.x'= 4, x²= 4
Transcribed Image Text:Solve the problem. 4 Let a1 = 4 az = 2, and b = 22 -21 Determine whether b can be written as a linear combination of a, and a2. In other words, determine whether weights x, and x2 exist, such that x1 a1 + X2 az = b. Determine the weights x, and x2 if possible. Select one: A.x'= 4, x²= 3 B.x'= 5, x²= 2 C.No solution D.x'= 4, x²= 4
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