Let u4 be a linear combination of {u₁, U₂, U3}. Select the best statement. OA. We only know that span {u₁, U₂, U3} C span{u₁, U₂, U3, U4} . B. There is no obvious relationship between span{u₁, U₂, U3} and span{u₁, U₂, U3, U4₂ } . © C. span{u₁, U₂, U3} = span{U₁, U₂, U3, U4 } . D. span{u₁, U₂, U3 } = span{U₁, U₂, U3, U4} when u4 is a scalar multiple of one of {u₁, U₂, U3}. E. none of the above

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 74E
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Let u4 be a linear combination of {u₁, U₂, U3 }.
Select the best statement.
A. We only know that span{u₁, U₂, U3} C span{u₁, U₂, U3, U4 } .
B. There is no obvious relationship between span{u₁, ₂, u3} and span{u₁, U₂, U3, U4 } .
© C. span{u₁, U₂, U3 } = span{U₁, U₂, U3, U4 } .
© D. span{u₁, U₂, U3 } = span{U₁, U₂, U3, U4} when u4 is a scalar multiple of one of {u₁, U₂, U3}.
E. none of the above
Transcribed Image Text:Let u4 be a linear combination of {u₁, U₂, U3 }. Select the best statement. A. We only know that span{u₁, U₂, U3} C span{u₁, U₂, U3, U4 } . B. There is no obvious relationship between span{u₁, ₂, u3} and span{u₁, U₂, U3, U4 } . © C. span{u₁, U₂, U3 } = span{U₁, U₂, U3, U4 } . © D. span{u₁, U₂, U3 } = span{U₁, U₂, U3, U4} when u4 is a scalar multiple of one of {u₁, U₂, U3}. E. none of the above
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