Solve the problem. Let a1 = 1, and b = 6 Determine whether b can be written as a linear combination of a1 and az. In other words, determine whether weights x1 and x2 exist, such that x, a, + X2 az = b. Determine the weights x1 and X2 if possible. Select one: A.No solution B.x'= 2, x²= -1 C.x'= 3, x²= -3 D.x'= 2, x²= -2

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 1BEXP
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Solve the problem.
22
Let a1 = 4, az = 1, and b = 6
Determine whether b can be written as a linear combination of
a1 and az. In other words, determine whether weights x1 and x2
exist, such that x, an + X2 az = b. Determine the weights x1 and
X2 if possible.
Select one:
A.No solution
B.x'= 2, x²= -1
C.x'= 3, x²= -3
D.x'= 2, x²= -2
Transcribed Image Text:Solve the problem. 22 Let a1 = 4, az = 1, and b = 6 Determine whether b can be written as a linear combination of a1 and az. In other words, determine whether weights x1 and x2 exist, such that x, an + X2 az = b. Determine the weights x1 and X2 if possible. Select one: A.No solution B.x'= 2, x²= -1 C.x'= 3, x²= -3 D.x'= 2, x²= -2
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