Question

Determine if the columns of the matrix form a linearly independent set. Justify your answer. A. If A is the given matrix, then the augmented matrix trivial solution. Therefore, the columns of A do not form a linearly independent set.represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax =0 has only the O 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 form a linearly independent set. OC. 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. O D. 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.

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6