In: Advanced Math
The following matrix is the augmented matrix for a system of linear equations. A =
1 | 1 | 0 | 1 | 1 |
0 | 0 | 1 | 3 | 3 |
0 | 0 | 0 | 1 | 1 |
2 | 2 | 0 | 5 | 5 |
(a) Write down the linear system of equations whose augmented matrix is A.
(b) Find the reduced echelon form of A.
(c) In the reduced echelon form of A, mark the pivot positions.
(d) Does the system have no solutions, exactly one solution or infinitely many solutions? Justify your answer