6. Use determinants to decide if the set of vectors is linearly independent. 6 -7 3 -2 - 4 2 The determinant of the matrix whose columns are the given vectors is (Simplify your answer.) Is the set of vectors linearly independent? O A. The set of vectors is linearly dependent, because the determinant exists. O B. The set of vectors is linearly dependent, because the determinant is not zero. Oc. The set of vectors is linearly independent, because the determinant exists. O D. The set of vectors is linearly independent, because the determinant is not zero.
6. Use determinants to decide if the set of vectors is linearly independent. 6 -7 3 -2 - 4 2 The determinant of the matrix whose columns are the given vectors is (Simplify your answer.) Is the set of vectors linearly independent? O A. The set of vectors is linearly dependent, because the determinant exists. O B. The set of vectors is linearly dependent, because the determinant is not zero. Oc. The set of vectors is linearly independent, because the determinant exists. O D. The set of vectors is linearly independent, because the determinant is not zero.
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:6. Use determinants to decide if the set of vectors is linearly independent.
6
- 7
6
- 2
- 4
6
The determinant of the matrix whose columns are the given vectors is
(Simplify your answer.)
Is the set of vectors linearly independent?
O A. The set of vectors is linearly dependent, because the determinant exists.
O B. The set of vectors is linearly dependent, because the determinant is not zero.
O C. The set of vectors is linearly independent, because the determinant exists.
D. The set of vectors is linearly independent, because the determinant is not zero.
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