Let u be a vector that is not a linear combination of {u₁, U₂, 1 U3,}- Select the best statement. A. span{u₁, U₂, U3} is a proper subset of span{u₁, 12, 13, 14). B. span{u₁, U₂, U3} = span{U₁, U₂, U3, U4} when none of {u₁, 1₂, 13, } is a linear combination of the others. OC. span{u₁, U₂, U3} span{u₁, U₂, U3, U₁} D. We only know that span{u₁, U₂, U3, U4} C span{u₁, U2, U3}. E. We only know that span{u₁, U₂, U3} C span{u₁, U₂, U3, U4}. F. There is no obvious relationship between span{u₁, 12, 13} and span{u₁, 12, 13, 14). G. 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 u be a vector that is not a linear combination of {1₁, 1₂, 13, }.
Select the best statement.
A. span{u₁, 1₂, 13} is a proper subset of span{u₁, U₂, U3, U4}.
B. span{u₁, U₂, U3} = span{u₁, 1₂, 13, 14} when none of {u₁, U₂, U3, } is a linear
combination of the others.
C. span{u₁, U₂, U3} = span{u₁, U₂, U3, U₁} .
D. We only know that span{u₁, U₂, U3, U4} span{u₁, U₂, U3}.
E. We only know that span{u₁, 12, 13} C span{u₁, 12, 13, 14).
F. There is no obvious relationship between span{u₁, 12, 13} and span{u₁, 1₂, 13, 14).
G. none of the above
Transcribed Image Text:Let u be a vector that is not a linear combination of {1₁, 1₂, 13, }. Select the best statement. A. span{u₁, 1₂, 13} is a proper subset of span{u₁, U₂, U3, U4}. B. span{u₁, U₂, U3} = span{u₁, 1₂, 13, 14} when none of {u₁, U₂, U3, } is a linear combination of the others. C. span{u₁, U₂, U3} = span{u₁, U₂, U3, U₁} . D. We only know that span{u₁, U₂, U3, U4} span{u₁, U₂, U3}. E. We only know that span{u₁, 12, 13} C span{u₁, 12, 13, 14). F. There is no obvious relationship between span{u₁, 12, 13} and span{u₁, 1₂, 13, 14). G. none of the above
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