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Solve the problem. Let a1 = 2, az =-4|, a3 = 1, and b = 2 Determine whether b can be written as a linear combination of a1, az, and a3. In other words, determine whether weights x1, X2, and x3 exist, such that x, a1 + X2 a2 + X3 a3 = b. Determine the weights x1, X2, and x3 if possible. Select one: A.No solution B.x'= -3, x²= 0, x²= 1 C.x'= 2, x²= 1, x²= 0 D.x'= -2, x= -1, x= 2

Solve the problem. Let a1 = 2, az =-4|, a3 = 1, and b = 2 Determine whether b can be written as a linear combination of a1, az, and a3. In other words, determine whether weights x1, X2, and x3 exist, such that x, a1 + X2 a2 + X3 a3 = b. Determine the weights x1, X2, and x3 if possible. Select one: A.No solution B.x'= -3, x²= 0, x²= 1 C.x'= 2, x²= 1, x²= 0 D.x'= -2, x= -1, x= 2

Algebra and Trigonometry (6th Edition)
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,...
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Solve the problem. Let a1 = 2, az = -4, a3 = 1, and b = 2 Determine whether b can be written as a linear combination of a1, a2, and a3. In other words, determine whether weights x1, X2, and x3 exist, such that x1 a1 + X2 az + X3 a3 = b. Determine the weights x1, X2, and x3 if possible. Select one: A.No solution B.x'= -3, x²= 0, x²= 1 C.x'= 2, x²= 1, x²= 0 D.x'= -2, x²= -1, x²=2
Transcribed Image Text:Solve the problem. Let a1 = 2, az = -4, a3 = 1, and b = 2 Determine whether b can be written as a linear combination of a1, a2, and a3. In other words, determine whether weights x1, X2, and x3 exist, such that x1 a1 + X2 az + X3 a3 = b. Determine the weights x1, X2, and x3 if possible. Select one: A.No solution B.x'= -3, x²= 0, x²= 1 C.x'= 2, x²= 1, x²= 0 D.x'= -2, x²= -1, x²=2
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