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Determine if the columns of the matrix form a linearly independent set. Justify your answer. 3 4 4 9-12 4 1 - 3

Determine if the columns of the matrix form a linearly independent set. Justify your answer. 3 4 4 9-12 4 1 - 3

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 if the columns of the matrix form a linearly independent set. Justify your answer. 1 - 3 - 3 4 4 9 - 12 4 Choose the correct answer below. O A. The columns of the matrix do form a linearly independent set because the set contains more vectors than there are entries in each vector. O B. The columns of the matrix do not form a linearly independent set because there are more entries in each vector than there are vectors in the set. O C. The columns of the matrix do not form a linearly independent set because the set contains more vectors than there are entries in each vector. O D. The columns of the matrix do form a linearly independent set because there are more entries in each vector than there are vectors in the set.
Transcribed Image Text:Determine if the columns of the matrix form a linearly independent set. Justify your answer. 1 - 3 - 3 4 4 9 - 12 4 Choose the correct answer below. O A. The columns of the matrix do form a linearly independent set because the set contains more vectors than there are entries in each vector. O B. The columns of the matrix do not form a linearly independent set because there are more entries in each vector than there are vectors in the set. O C. The columns of the matrix do not form a linearly independent set because the set contains more vectors than there are entries in each vector. O D. The columns of the matrix do form a linearly independent set because there are more entries in each vector than there are vectors in the set.
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