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4. (a) Write W₁ = (1,0), W₂ = (0, 1), and w3 = (11,6) as linear combinations of V₁ = (5, 4) and v₂ = (2, 3). (b) Let V₁ = (-2,1,5), V2 Could it be all of R³? = (0, 1, 4), V3 = (-2,4, 17). What is span(V₁, V2, V3)?

4. (a) Write W₁ = (1,0), W₂ = (0, 1), and w3 = (11,6) as linear combinations of V₁ = (5, 4) and v₂ = (2, 3). (b) Let V₁ = (-2,1,5), V2 Could it be all of R³? = (0, 1, 4), V3 = (-2,4, 17). What is span(V₁, V2, V3)?

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 4CM: Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4,...
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4. (a) Write W₁ = (1,0), W₂ = (0, 1), and w3 = (11,6) as linear combinations of V₁ = (5, 4) and v₂ = (2, 3). (b) Let v₁ = = (-2,1,5), V2 = (0, 1, 4), V3 = (-2,4, 17). What is span(V₁, V2, V3)? Could it be all of R³?
Transcribed Image Text:4. (a) Write W₁ = (1,0), W₂ = (0, 1), and w3 = (11,6) as linear combinations of V₁ = (5, 4) and v₂ = (2, 3). (b) Let v₁ = = (-2,1,5), V2 = (0, 1, 4), V3 = (-2,4, 17). What is span(V₁, V2, V3)? Could it be all of R³?
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