Determine if the columns of the matrix form a linearly independent set. 1 3-3 9 27-3 6 3 12 2-17 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, than there are entries in each vector, (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.

Determine if the columns of the matrix form a linearly independent set. 1 3-3 9 27-3 6 3 12 2-17 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, than there are entries in each vector, (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.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.3: Spanning Sets And Linear Independence

Problem 31EQ

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