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Let u, be a vector that is not a linear combination of {u1, U2, U3, }. Select the best statement. O A. There is no obvious relationship between span{u1,u2, U3} and span{u1, u2, u3, U4} . O B. span{u1, U2, U3} is a proper subset of span{u1, u2, u3, u4}. C. span{u1, u2, u3} = span{u1, u,, U3, U4} when none of {u1, u2, U3, } is a linear combination of the others. OD. We only know that span{u1, u2, U3} C span{u1,U2, U3, U4 }. O E. We only know that span{u1, u2, U3, U4} C span{u1,U2, Uz} . OF. span{u1, u2, U3} = span{u1, U2, U3, U4} . G. none of the above

Let u, be a vector that is not a linear combination of {u1, U2, U3, }. Select the best statement. O A. There is no obvious relationship between span{u1,u2, U3} and span{u1, u2, u3, U4} . O B. span{u1, U2, U3} is a proper subset of span{u1, u2, u3, u4}. C. span{u1, u2, u3} = span{u1, u,, U3, U4} when none of {u1, u2, U3, } is a linear combination of the others. OD. We only know that span{u1, u2, U3} C span{u1,U2, U3, U4 }. O E. We only know that span{u1, u2, U3, U4} C span{u1,U2, Uz} . OF. span{u1, u2, U3} = span{u1, U2, U3, U4} . G. none of the above

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 21EQ
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Let u4 be a vector that is not a linear combination of {u1, U2, U3, }. Select the best statement. O A. There is no obvious relationship between span{u1, u2, U3} and span{u1, u2, u3, u4} . O B. span{u1, u2, U3} is a proper subset of span{u1, U2, U3, U4}. C. span{u1, u2, U3} = span{u1, u2, U3, U4} when none of {u1, u2, U3, } is a linear combination of the others. O D. We only know that span{u1, U2, U3} C span{u1,u2, u3, U4}. O E. We only know that span{u1, u2, U3, U4} C span{u1,U2, U3} . O F. span{u1, u2, U3} = span{u1, U2, U3, U4} . G. none of the above
Transcribed Image Text:Let u4 be a vector that is not a linear combination of {u1, U2, U3, }. Select the best statement. O A. There is no obvious relationship between span{u1, u2, U3} and span{u1, u2, u3, u4} . O B. span{u1, u2, U3} is a proper subset of span{u1, U2, U3, U4}. C. span{u1, u2, U3} = span{u1, u2, U3, U4} when none of {u1, u2, U3, } is a linear combination of the others. O D. We only know that span{u1, U2, U3} C span{u1,u2, u3, U4}. O E. We only know that span{u1, u2, U3, U4} C span{u1,U2, U3} . O F. span{u1, u2, U3} = span{u1, U2, U3, U4} . G. none of the above
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