Let (1₁, 12, 13, 14} be a linearly independent set of vectors. Select the best statement. OA. (1₁, 1₂, 13} could be a linearly independent or linearly dependent set of vectors depending on the vectors chosen. OB. (u₁, U₂, U3} is never a linearly independent set of vectors. OC. {u₁, U₂, U3} is always a linearly independent set of vectors. OD. none of the above

Let (1₁, 12, 13, 14} be a linearly independent set of vectors. Select the best statement. OA. (1₁, 1₂, 13} could be a linearly independent or linearly dependent set of vectors depending on the vectors chosen. OB. (u₁, U₂, U3} is never a linearly independent set of vectors. OC. {u₁, U₂, U3} is always a linearly independent set of vectors. OD. none of the above

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…
Determine whether the given vectors u and v are linearly dependent or linearly independent.
Multiple Choice
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…
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