2. [1 point] Suppose a 5 X 7 coefficient matrix for a system has five pivot columns. Is the system consistent? Why or why not? Choose the correct answer below a. There is at least one row of the coefficient matrix that does not have a pivot position. This means the augmented matrix, which will have eight columns, could have a row of the form [0 0 0 0 0 0 0 1], so the system could be inconsistent. b. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have six columns and will not have a row of the form [0 0 0 0 0 1], so the system is consistent. c. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have eight columns and will not have a row of the form [0 0 0 0 0 0 0 1], so the system is consistent. d. There is at least one row of the coefficient matrix that does not have a pivot position. This means the augmented matrix, which will have eight columns, must have a row of the form [0 0 0 0 0 0 0 1], so the system is inconsistent