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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let u4 be a linear combination of {u₁, U₂, U3}.
Select the best statement.
A. There is no obvious relationship between span{u₁, U₂, U3 } and span{U₁, U₂, U3, U4 } .
OB. We only know that span{u₁, U₂, U3} C span{U₁, U₂, U3, U4 } .
OC. span{u₁, U₂, U3 } = span{u₁, U2, U3, U4 } when u is a scalar multiple of one of {u₁, U2, U3 } .
D. span{u₁, U₂, U3 } = span{u₁, U2, U3, U4 } .
E. none of the above
Transcribed Image Text:Let u4 be a linear combination of {u₁, U₂, U3}. Select the best statement. A. There is no obvious relationship between span{u₁, U₂, U3 } and span{U₁, U₂, U3, U4 } . OB. We only know that span{u₁, U₂, U3} C span{U₁, U₂, U3, U4 } . OC. span{u₁, U₂, U3 } = span{u₁, U2, U3, U4 } when u is a scalar multiple of one of {u₁, U2, U3 } . D. span{u₁, U₂, U3 } = span{u₁, U2, U3, U4 } . E. none of the above
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