Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Let u be a linear combination of {1₁, 1₂, 13).
Select the best statement.
OA. {U₁, U₂, U3, U4} is a linearly dependent set of vectors unless one of {1₁, 12, 13} is the zero vector.
OB. (U₁, U₂, U3, U4} is always a linearly dependent set of vectors.
OC. {U₁, U₂, U3, U4} could be a linearly dependent or linearly dependent set of vectors depending on the vectors chosen.
OD. {U₁, U₂, U3, U4} could be a linearly dependent or linearly dependent set of vectors depending on the vector space chosen.
OE. {U₁, U₂, U3, U4} is never a linearly dependent set of vectors.
OF. none of the above
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Transcribed Image Text:Let u be a linear combination of {1₁, 1₂, 13). Select the best statement. OA. {U₁, U₂, U3, U4} is a linearly dependent set of vectors unless one of {1₁, 12, 13} is the zero vector. OB. (U₁, U₂, U3, U4} is always a linearly dependent set of vectors. OC. {U₁, U₂, U3, U4} could be a linearly dependent or linearly dependent set of vectors depending on the vectors chosen. OD. {U₁, U₂, U3, U4} could be a linearly dependent or linearly dependent set of vectors depending on the vector space chosen. OE. {U₁, U₂, U3, U4} is never a linearly dependent set of vectors. OF. none of the above
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