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Can vector W = [2] 2 be written as a linear combination of V₁ = 3 5 02 = 2 4 4 ? If yes, then find the coefficients and write the was the linear 6 combination of 1 and V2. Yes. The solution cl == -1, c2 = = 2 fits the equation, that is -v12v2: -v1 + 2v2 = w Yes. The solution cl 2v1 - v2 = w Yes. The solution cl -2v1 v2 = - = = = W = 2, c2 = -1 fits the equation, that is -2, c2 = -1 fits the equation, that is No

Can vector W = [2] 2 be written as a linear combination of V₁ = 3 5 02 = 2 4 4 ? If yes, then find the coefficients and write the was the linear 6 combination of 1 and V2. Yes. The solution cl == -1, c2 = = 2 fits the equation, that is -v12v2: -v1 + 2v2 = w Yes. The solution cl 2v1 - v2 = w Yes. The solution cl -2v1 v2 = - = = = W = 2, c2 = -1 fits the equation, that is -2, c2 = -1 fits the equation, that is No

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.7: Quadratic Functions And Complex Numbers
Problem 2P
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Can vector W = [2] 2 be written as a linear combination of V₁ = 3 5 02 = 2 4 4 ? If yes, then find the coefficients and write the was the linear 6 combination of 1 and V2. Yes. The solution cl == -1, c2 = = 2 fits the equation, that is -v12v2: -v1 + 2v2 = w Yes. The solution cl 2v1 - v2 = w Yes. The solution cl -2v1 v2 = - = = = W = 2, c2 = -1 fits the equation, that is -2, c2 = -1 fits the equation, that is No
Transcribed Image Text:Can vector W = [2] 2 be written as a linear combination of V₁ = 3 5 02 = 2 4 4 ? If yes, then find the coefficients and write the was the linear 6 combination of 1 and V2. Yes. The solution cl == -1, c2 = = 2 fits the equation, that is -v12v2: -v1 + 2v2 = w Yes. The solution cl 2v1 - v2 = w Yes. The solution cl -2v1 v2 = - = = = W = 2, c2 = -1 fits the equation, that is -2, c2 = -1 fits the equation, that is No
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