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Solve the problem. Let a1 = 2, az =|-4|, a3 = ,and b = 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 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

Solve the problem. Let a1 = 2, az =|-4|, a3 = ,and b = 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 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

Algebra: Structure And Method, Book 1
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
Chapter1: Introduction To Algebra
Section1.4: Translating Words Into Symbols
Problem 25WE
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Solve the problem. Let a1 = 2, a2 =-4, a3 = and b = 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 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 O Cx'= 2, x²= 1, x²= 0 D.x' = -2, x²= -1, x²= 2
Transcribed Image Text:Solve the problem. Let a1 = 2, a2 =-4, a3 = and b = 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 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 O Cx'= 2, x²= 1, x²= 0 D.x' = -2, x²= -1, x²= 2
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