Choose the correct answer below. There is at least one row of the coefficient ma
ID: 3408288 • Letter: C
Question
Choose the correct answer below. 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 nine columns, must have a row of the form [00000000 1 ], so the system is inconsistent. 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 nine columns, could have a row of the form [000000001 ]. so the system could be inconsistent. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have nine columns and will not have a row of the form [0 0 0 0 0 0 0 0 1], so the system is consistent. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have seven columns and will not have a row of the form [00 0 0 0 0 1 ], so the system is consistent.Explanation / Answer
The answer is C. There is a pivot position in each row of the coefficient matrix. It implies that the augmented matrix , having 9 columns has no row of the form ( 0, 0, 0, 0, 0, 0, 0, 0, 1) so the system is consistent.