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
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Chapter2: Second-order Linear Odes
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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 entries.
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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