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Write v as a linear combination of u and w, if possible, where u = (2, 2) and w = (2, -1). (Enter your answer in terms of u and w. If not possible, enter IMPOSSIBLE.) v = (-4, -4)

Write v as a linear combination of u and w, if possible, where u = (2, 2) and w = (2, -1). (Enter your answer in terms of u and w. If not possible, enter IMPOSSIBLE.) v = (-4, -4)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter5: Solving Systems Of Linear Equations
Section5.3: Solving Systems Of Linear Equations By Eliminations
Problem 40E
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Write v as a linear combination of u and w, if possible, where u = (2, 2) and w = (2, –1). (Enter your answer in terms of u and w. If not possible, enter IMPOSSIBLE.) v = (-4, -4) V = Need Help? Read It Watch It
Transcribed Image Text:Write v as a linear combination of u and w, if possible, where u = (2, 2) and w = (2, –1). (Enter your answer in terms of u and w. If not possible, enter IMPOSSIBLE.) v = (-4, -4) V = Need Help? Read It Watch It
Is W a subspace of the vector space? If not, state why. (Select all that apply.) W is the set of all vectors in R2 whose second component is the square root of the first. W is a subspace of R2. W is not a subspace of R2 because it is not closed under addition. W is not a subspace of R2 because it is not closed under scalar multiplication.
Transcribed Image Text:Is W a subspace of the vector space? If not, state why. (Select all that apply.) W is the set of all vectors in R2 whose second component is the square root of the first. W is a subspace of R2. W is not a subspace of R2 because it is not closed under addition. W is not a subspace of R2 because it is not closed under scalar multiplication.
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