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Determine if the columns of the matrix form a linearly independent set. Justify your answer. 1 -3 3 3 - 3 9 -9 3 Choose the correct answer below. 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. 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. O C. The columns of the matrix do form a linearly independent set because there are more entries in each vector than there are vectors in the set. O D. The columns of the matrix do form a linearly independent set because the set contains more vectors than there are entries in each vector.

Determine if the columns of the matrix form a linearly independent set. Justify your answer. 1 -3 3 3 - 3 9 -9 3 Choose the correct answer below. 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. 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. O C. The columns of the matrix do form a linearly independent set because there are more entries in each vector than there are vectors in the set. O D. The columns of the matrix do form a linearly independent set because the set contains more vectors than there are entries in each vector.

Linear Algebra: A Modern Introduction
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 42EQ
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Determine if the columns of the matrix form a linearly independent set. Justify your answer. 1 -3 3 3 - 3 9 -9 3 Choose the correct answer below. 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. 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. O C. The columns of the matrix do form a linearly independent set because there are more entries in each vector than there are vectors in the set. O D. The columns of the matrix do form a linearly independent set because the set contains more vectors than there are entries in each vector.
Transcribed Image Text:Determine if the columns of the matrix form a linearly independent set. Justify your answer. 1 -3 3 3 - 3 9 -9 3 Choose the correct answer below. 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. 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. O C. The columns of the matrix do form a linearly independent set because there are more entries in each vector than there are vectors in the set. O D. The columns of the matrix do form a linearly independent set because the set contains more vectors than there are entries in each vector.
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