Question

Determine if the columns of the matrix form a linearly independent set. ? 1 2 -3 4 ? ? 2 5 -3 -1 ? ? 3 8 -1 -12 ? 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 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. 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 4 ?
? 2 5 -3 -1 ?
? 3 8 -1 -12 ?

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 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.

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 4 ?
? 2 5 -3 -1 ?
? 3 8 -1 -12 ?

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 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.

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.

Added by Joshua C.

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