Determine if the columns of the matrix form a linearly independent set. 1 2 37 - 8 16 - -7 39-1-8 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, (Type whole numbers.) than there are entries in each vector, 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.) OC. 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. OD. 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 2 37 - 8 16 - -7 39-1-8 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, (Type whole numbers.) than there are entries in each vector, 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.) OC. 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. OD. 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 2
37
-
8
16
-
-7
39-1-8
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,
(Type whole numbers.)
than there are entries in each vector,
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.)
OC. 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.
OD. 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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