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…
Plz solve q1 asap Handwritten sol is req
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.
Vectors
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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