Please save and show all work. Determine if the columns of the matrix form a linearly independent set.Justify your answer.Select the correct choice below and fill in the answer box within your choice.(Type an integer or simplified fraction for each matrix element.)C-2 -10061 - 121-2412OA. 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 trivialsolution. Therefore, the columns of A do not form a linearly independent set.OB. If A is the given matrix, then the augmented matrixsolution. Therefore, the columns of A form a linearlyO C. IfA 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 onesolution. Therefore, the columns of A do not 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 onesolution. Therefore, the columns of A form a linearly independent set.represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has only the trivialindependent set.

The given matrixLets use the row operations to find the row reduced echelon form.

etermine if the columns of the matrix form a linearly independent set. ustify your answer. 2 elect the correct choice below and fill in the answer box within your choice. ype an integer or simplified fraction for each matrix element.) OA. 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 trivi solution. Therefore, the columns of A do not form a linearly independent set. OB. IfA 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 trivi solution. Therefore, the columns of A form a linearly independent set.