Determine by inspection whether the vectors are linearly independent. Justify your answer.3- 4Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. The set of vectors is linearly dependent becausetimes the first vector is equal to the second vector.(Type an integer or a simplified fraction.)O B. The set of vectors is linearly dependent because neither vector is the zero vector.OC. The set of vectors is linearly independent because neither vector is a multiple of the other vector.

Answered: Image /qna-images/answer/a763af3c-5107-461f-b250-22ea2c4db212.jpg

Answered: Determine by inspection whether the…

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. 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 by inspection whether the vectors are linearly independent. Justify your answer. 300 - 3 5 Choose the correct answer below. O A. The set of vectors is linearly dependent because (Type an integer or a simplified fraction.) times the first vector is equal to the third vector. OB. The set of vectors is linearly independent because (Type an integer or a simplified fraction.) O 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 second vector.
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.
Show all steps please.

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