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Determine if the columns of the matrix form a linearly independent set. 1 2 -3 6 3 7 -6 3 8 -1 -6 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 there are more entries in each vector, than there are vectors in the set, (Type whole numbers.) O B. 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, 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 2 -3 6 3 7 -6 3 8 -1 -6 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 there are more entries in each vector, than there are vectors in the set, (Type whole numbers.) O B. 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, 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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 21T
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Determine if the columns of the matrix form a linearly independent set. 1 2 - 3 6. 3 7 - 6 9. 3 8 - 1 - 6 ... 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 there are more entries in each vector, than there are vectors in the set, (Type whole numbers.) B. 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.) 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.
Transcribed Image Text:Determine if the columns of the matrix form a linearly independent set. 1 2 - 3 6. 3 7 - 6 9. 3 8 - 1 - 6 ... 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 there are more entries in each vector, than there are vectors in the set, (Type whole numbers.) B. 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.) 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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