20. Determine whether the statement below is true or false. Justify the answer. The equation Ax = b is consistent if the augmented matrix [ Ab ] has a pivot position in every row. Choose the correct answer below. O A This statement is true. The pivot positions in the augmented matrix [ Ab ] always occur in the columns that represent A. O B. This statement is false. The augmented matrix [ Ab ] cannot have a pivot position in every row because it has more columns than rows, C. This statement is false. If the augmented matrix [ Ab ] has a pivot position in every row, the equation Ax =b may or may not be consistent. One pivot position may be in the column representing b. O D. This statement is true. If the augmented matrix [ Ab ] has a pivot position in every row, then the equation Ax = b has a solution for each b in R