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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{1₁, 1₂, 13} = span{u₁, U₂, U3, U4} - B. We only know that span{u₁, 1₂, 13, 14} span{u₁, 1₂, 13} C. span {₁, 1₂, 13} is a proper subset of span {1₁, 1₂, 13, 14). D. span{u₁, U₂, U3} = span{u₁, 1₂, 13, 14} when none of {1₁, 12, 13, } is a linear combination of the others. E. We only know that span{u₁, 1₂, us} C span{u₁, 1₂, 13, 14). F. There is no obvious relationship between span{u₁, 1₂, 13} and span{U₁, U₂, U3, U₁}. G. none of the above

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