Determine if v is in the set spanned by the columns of B.- 3- 12- 37v =3 16489O 2136Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice.A.Vector v is in the set spanned by the columns of B because the columns of B span R*.B. Vector v is in the set spanned by the columns of B becauseb, +b2 + b3 = v.O C. Vector v is not in the set spanned by the columns of B because the reduced echelon form of the matrix formed by writing B with a fourth column equal to v isO D. Vector v is not in the set spanned by the columns of B because the columns of B, b, , b,, and b, are linearly independent.

Answered: Determine if v is in the set spanned by…

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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2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 = 3 + 2x + 5x². pi i. -9-7x - 15x² ii. 6+11x + 6x² = iii. O iv. 7 + 8x + 9x² b. Suppose that vi = = (2, 1, 0, 3), v₂ = (3, −1, 5, 2), and №3 = (–1, 0, 2, 1). Which of the following vectors are in span {1, 2, 3}? i. (2, 3, -7,3) ii. (0,0,0,0) iii. (1,1,1,1) iv. (-4, 6, -13, 4)
Determine if the following vectors are orthogonal. 12 u -2 Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a simplified fraction.) O A. The vectors u and v are orthogonal because u v= O B. The vectors u and v are not orthogonal because u+ v=| OC. The vectors u and v are not orthogonal because u v= OD. The vectors u and v are orthogonal because u+ v=
Determine by inspection whether the vectors are linearly independent. Justify your answer. 10 20 -2 - 4 Choose the correct answer below. O A. The set is linearly dependent because the first vector is a multiple of the other vector. The entries in the first vector are - 5 times the corresponding entry in the second vector. O B. The set is linearly independent because neither vector is a multiple of the other vector. Two of the entries in the first vector are - 5 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 the first vector is a multiple of the other vector. The entries in the first vector are - 5 times the corresponding entry in the second vector. O D. The set is linearly dependent because neither vector is a multiple of the other vector. Two of the entries in the first vector are - 5 times the corresponding entry in the second vector. But this multiple does not work for the third…
Pls correct option with explanation. Thanksss
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…
Determine if v is in the set spanned by the columns of B. B= 8-3 2 -9 4-7 6-2 4 5 -1 10 V= 12 -11 10 11 GETOP Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice. OA. Vector v is not in the set spanned by the columns of B because the columns of B, b,, b₂, and b, are linearly independent. B. Vector v is not in the set spanned by the columns of B because the reduced echelon form of the matrix formed by writing B with a fourth column equal to v is OC. Vector v is in the set spanned by the columns of B because the columns of B span R¹. OD. Vector v is in the set spanned by the columns of B because b₁ b₂+ b3 FV. +
Please do last part
Please solve and show all work using Linear Algebra.
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.

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