Linear Algebra Determine if the columns of the matrix form a linearly independent set.

Justify your answer.

0 -3 9

2 1 -7

-1 4 -6

1 -4 -2

Select the correct choice below and fill in the answer box within your choice.

(Type an integer or simplified fraction for each matrixelement.)

A. If A is the given matrix, then the augmented matrix _ represents the equation Ax=0. The reduced echelon form of this matrix indicates that Ax=0 has only the trivial solution. Therefore, the columns of A form a linearly independent set.

B. If A is the given matrix, then the augmented matrix _ represents the equation Ax=0. The reduced echelon form of this matrix indicates that Ax=0 has more than one solution. Therefore, the columns of A do not form a linearly independent set.

C. If A is the given matrix, then the augmented matrix _ represents the e