(1 point) Convert the system
-2x_(1)+x_(2)=-1
-3x_(1)+4x_(2)=-9
x_(1)-x_(2)=2
to an augmented matrix. Then reduce the system to echelon form and determine if the system is consistent. If the system in consistent, then find all solutions. Augmented matrix: Echelon form: Is the system consistent? Solution:
(x_(1),x_(2))=([◻,],[s_(1),,s_(1)])
Help: To enter a matrix use . For example, to enter the
2\times 3
matrix
[[1,2,3],[6,5,4]]
you would type
[[1,2,3],[6,5,4]]
, so each inside set of [ ] represents a row. If there is no free variable in the solution, then type 0 in each of the answer blanks directly before each
s_(1)
. For example, if the answer is
(x_(1),x_(2))=(5,-2)
, then you would enter
(5+0s_(1),-2+0s_(1))
. If the system is inconsistent, you do not have to type anything in the "Solution" answer blanks.