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Let u4 be a vector that is not a linear combination of {u₁, U₂, U3, }. Select the best statement. A. span{u₁, U2, U3} = span{u₁, U₂, U3, U4}. B. We only know that span{u₁, U₂, U3} C span{u₁, U2, U3, U4 } . C. There is no obvious relationship between span {u₁, U₂, U3} and span{u₁, U₂, U3, U4}. = D. span {u₁, U₂, U3} span{u₁, U₂, U3, U4} when none of {u₁, U₂, U3, } is a linear combination of the others. E. span{u₁, U₂, U3} is a proper subset of span{u₁, U₂, U3, U4). F. We only know that span{u₁, U₂, U3, U4} C span{u₁, U₂, U3} G. none of the above

Let u4 be a vector that is not a linear combination of {u₁, U₂, U3, }. Select the best statement. A. span{u₁, U2, U3} = span{u₁, U₂, U3, U4}. B. We only know that span{u₁, U₂, U3} C span{u₁, U2, U3, U4 } . C. There is no obvious relationship between span {u₁, U₂, U3} and span{u₁, U₂, U3, U4}. = D. span {u₁, U₂, U3} span{u₁, U₂, U3, U4} when none of {u₁, U₂, U3, } is a linear combination of the others. E. span{u₁, U₂, U3} is a proper subset of span{u₁, U₂, U3, U4). F. We only know that span{u₁, U₂, U3, U4} C span{u₁, U₂, U3} G. none of the above

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let u be a vector that is not a linear combination of {u₁, U₂, U3, }. Select the best statement. A. span{u₁, U₂, U3 } = span{U₁, U₂, U3, U4 } . B. We only know that span{u₁, U₂, U3} C span{U₁, U₂, U3, U4 } . C. There is no obvious relationship between span{u₁, U₂, U3} and span{u₁, U2, U3, U4}. D. span {u₁, U₂, U3} = span{u₁, U₂, U3, U4} when none of {u₁, U₂, U3, } is a linear combination of the others. E. span{u₁, U₂, U3} is a proper subset of span{u₁, U₂, U3, U4 } . F. We only know that span{u₁, U2, U3, U4} C span{u₁, U₂, U3} . G. none of the above
Transcribed Image Text:Let u be a vector that is not a linear combination of {u₁, U₂, U3, }. Select the best statement. A. span{u₁, U₂, U3 } = span{U₁, U₂, U3, U4 } . B. We only know that span{u₁, U₂, U3} C span{U₁, U₂, U3, U4 } . C. There is no obvious relationship between span{u₁, U₂, U3} and span{u₁, U2, U3, U4}. D. span {u₁, U₂, U3} = span{u₁, U₂, U3, U4} when none of {u₁, U₂, U3, } is a linear combination of the others. E. span{u₁, U₂, U3} is a proper subset of span{u₁, U₂, U3, U4 } . F. We only know that span{u₁, U2, U3, U4} C span{u₁, U₂, U3} . G. none of the above
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