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 entries.
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 entries.
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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
Transcribed Image Text: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 entries.
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