Determine if the columns of the matrix form a linearly independent set. 1 3 -3 6 3 10 -7 12 3 12 0 - 9 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, (Type whole numbers.) , 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, (Type whole numbers.) than there are vectors in the set, 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. 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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In the given matrix, the number of column is 4 and the number of row is 3.
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