Let u be a linear combination of {u₁, U₂, U3}. Select the best statement. OA. span{u₁, U₂, U3} = span{u₁, U₂, U3, U4} when u is a scalar multiple of one of {U₁, U₂, U3}. B. span{u₁, U₂, U3} = span{u₁, U₂, U3, U4}. C. We only know that span{u₁, U₂, U3} span{u₁, U₂, U3, U₁}. D. There is no obvious relationship between span{u₁, U₂, U3} and span{u₁, U₂, U3, U₁} . E. 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 4 be a linear combination of {u₁, 1₂, 13).
Select the best statement.
A. span{u₁, U₂, U3} = span{u₁, U2₂, U3, 14} when u4 is a scalar multiple of one of
{U₁, U₂, U3}.
B. span{u₁, U₂, U3} = span{U₁, U₂, U3, U4}.
c. We only know that span{u₁, U₂, U3} span{u₁, U₂, U3, U4} .
D. There is no obvious relationship between span{u₁, U₂, U3} and span{u₁, U₂, U3, U4} .
E. none of the above
Transcribed Image Text:Let 4 be a linear combination of {u₁, 1₂, 13). Select the best statement. A. span{u₁, U₂, U3} = span{u₁, U2₂, U3, 14} when u4 is a scalar multiple of one of {U₁, U₂, U3}. B. span{u₁, U₂, U3} = span{U₁, U₂, U3, U4}. c. We only know that span{u₁, U₂, U3} span{u₁, U₂, U3, U4} . D. There is no obvious relationship between span{u₁, U₂, U3} and span{u₁, U₂, U3, U4} . E. none of the above
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