Determine whether the given vectors u and v are linearly dependent or linearly independent.4----50Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.A. The vectors are linearly independent because v is a scalar multiple of u, specifically v =(Type an integer or a fraction.)u.B. The vectors are linearly independent because the only solution to the vector equation au + bv = 0 is a =(Type integers or fractions.)C. The vectors are linearly dependent because the only solution to the vector equation au + bv = 0 is a =(Type integers or fractions.)D. The vectors are linearly dependent because v is a scalar multiple of u, specifically v =(Type an integer or a fraction.)u.and b =and b =

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Answered: Determine whether the given vectors u…

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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Determine by inspection whether the vectors are linearly independent. Justify your answer. -6 2 30 3 Choose the correct answer below. O A. The set is linearly independent because the first vector is a multiple of the other vector. The entries in the first vector are - 3 times the corresponding entry in the second vector. O B. The set is linearly dependent because neither vector is a multiple of the other vector. Two of the entries in the first vector are - 3 times the corresponding entry in the second vector. But this multiple does not work for the third entries. O C. The set is linearly independent because neither vector is a multiple of the other vector. Two of the entries in the first vector are - 3 times the corresponding entry in the second vector. But this multiple does not work for the third entries. O D. The set is linearly dependent because the first vector is a multiple of the other vector. The entries in the first vector are - 3 times the corresponding entry in the second…
Type the correct answer in each box. If necessary, round your answers to the nearest hundredth.Consider the vectors U <-4,7> and V = <11, -6>. u+v=<_,_> ||u+v|| = _ units
Determine by inspection whether the vectors are linearly independent. Justify your answer. 3 -2 0 3 Choose the correct answer below. O A. The set of vectors is linearly independent because (Type an integer or a simplified fraction.) times the first vector is equal to the second vector. OB. The set of vectors is linearly dependent because (Type an integer or a simplified fraction.) C. The set of vectors is linearly dependent because one of the vectors is the zero vector. O D. The set of vectors is linearly independent because none of the vectors are multiples of the other vectors. times the first vector is equal to the third vector.
Determine if b is a linear combination of the other vectors. If so, express b as a linear combination. (If b cannot be written as a linear combination of the other two vectors, enter DNE in both answer blanks.) a = a, = b = Jas + ( 2 b =
PLEASE do both. I will give thumbs up!!! PLEASE.
Express the indicated vector w as a linear combination of the given vectors v₁ and v₂ if this is possible. If not, show that it is impossible. W = -7 - 9 - 2 3 5 8 -4 - 3 Select the correct answer below, and fill in the answer box(es) to complete your choice. ) v₁ + ( ) v₂. A. It is possible to express the vector w in terms of v₁ and v₂, as w= (Type integers or fractions.) B. It is impossible to express the vector w in terms of V₁ and V₂, because an echelon form of the augmented matrix [V₁ V₂ W], E= (Type an integer or simplified fraction for each matrix element.) shows that the system is inconsistent.
Express the indicated vector w as a linear combination of the given vectors v1 and v2 if this is possible. If not, show that it is impossible. w= (-1,0,7), V1= (7,6,5), v2=(6,5,3) Select the correct answer below, and fill in the answerbox(es) to complete your choice. A.It is possible to express the vector w in terms of v1 and v2, as w=(___)v1+(___)v2. (Type integers or fractions.) B.It is impossible to express the vector w in terms of v1 and v2, because an echelon form of the augmented matrix [v1 v2 w], E=___?, shows that the system is inconsistent.

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