Solve the given systems by reducing the corresponding augmented matrix to row-echelon form. Find the rank of the matrix of coefficients.
A.) 2x + 3y + z =1
x + y + z = 3
3x + 4y + 2z = 4
I'm having a LOT of trouble reducing this one to row echelon form. Can anyone help me out a bit? The third column is being a real pain to try and reduce...
The best I've been able to get is
| 1 1 1 | 3 |
| 0 1 -1| -5|
| 0 0 0 | 0 |
I pretty much am given two unique equations with a derived one... Is there any way to actually get a more accurate answer than this? And would the rank be 2?