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Determine by inspection whether the vectors are linearly independent. Justify your answer. -6 1 Choose the correct answer below. OA. 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. OB. 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. OC. 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 vector. O D. 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.

Determine by inspection whether the vectors are linearly independent. Justify your answer. -6 1 Choose the correct answer below. OA. 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. OB. 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. OC. 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 vector. O D. 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.

Advanced Engineering Mathematics
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 12 3 2 -4 1 Choose the correct answer below. 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. 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 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 vector. D. 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.
Transcribed Image Text:Determine by inspection whether the vectors are linearly independent. Justify your answer. -6 12 3 2 -4 1 Choose the correct answer below. 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. 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 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 vector. D. 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.
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