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Determine whether b can be written as a linear combination of a, and a2. In other words, determine whether weights X₁ and x₂ exist, such that x₁a₁ + x₂a2 = b. Determine the weights x, and x₂ if possible. Let a₁ = 1 3 a₂ = -6 OA. x₁ =3, x₂ = -5 OB. x₁=2, x₂ = -3 OC. x₁ = 2, x₂ = -4 OD. There is no solution. and b= 18 2 - 16

Determine whether b can be written as a linear combination of a, and a2. In other words, determine whether weights X₁ and x₂ exist, such that x₁a₁ + x₂a2 = b. Determine the weights x, and x₂ if possible. Let a₁ = 1 3 a₂ = -6 OA. x₁ =3, x₂ = -5 OB. x₁=2, x₂ = -3 OC. x₁ = 2, x₂ = -4 OD. There is no solution. and b= 18 2 - 16

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 1PT: Determine whether the following algebraic equationcan be written as a linear function. 2x+3y=7
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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 x₁ ₁ + x₂a2 = b. Determine the weights x₁ and x₂ if possible. Let a₁ = 1 3 a₂ = -6 -4 O A. x₁ = 3, x₂ = -5 O B. x₁ =2, x₂ = -3 O C. x₁=2, x₂ = -4 O D. There is no solution. and b= 18 2 - 16 C
Transcribed Image Text: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 x₁ ₁ + x₂a2 = b. Determine the weights x₁ and x₂ if possible. Let a₁ = 1 3 a₂ = -6 -4 O A. x₁ = 3, x₂ = -5 O B. x₁ =2, x₂ = -3 O C. x₁=2, x₂ = -4 O D. There is no solution. and b= 18 2 - 16 C
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