Determine if the columns of the matrix form a linearly independent set. 1 4 -3 0 -2 -7 5 1 -4 -5 7 5 Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. A. 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, (Type whole numbers.) 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, (Type whole numbers.) O C. Let A be the given matrix. Then the columns of the matrix form a linearly independent set since the vector equation, Ax = 0, has only the trivial solution. D. The columns of the matrix form a linearly independent set because at least one vector in the set is a constant multiple of another.
Determine if the columns of the matrix form a linearly independent set. 1 4 -3 0 -2 -7 5 1 -4 -5 7 5 Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. A. 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, (Type whole numbers.) 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, (Type whole numbers.) O C. Let A be the given matrix. Then the columns of the matrix form a linearly independent set since the vector equation, Ax = 0, has only the trivial solution. D. The columns of the matrix form a linearly independent set because at least one vector in the set is a constant multiple of another.
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 if the columns of the matrix form a linearly independent set.
1
4
- 3 0
-2 -7
5 1
- 4
- 5
7 5
Select the correct choice below and, if necessary, fill in the answer box(es) within your choice.
O A. 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,
(Type whole numbers.)
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,
(Type whole numbers.)
O C. Let A be the given matrix. Then the columns of the matrix form a linearly independent set since the vector equation, Ax = 0, has only the trivial solution.
O D. The columns of the matrix form a linearly independent set because at least one vector in the set is a constant multiple of another.
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