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(Solved): (1 point) Convert the system -2x_(1)+x_(2)=-1 -3x_(1)+4x_(2)=-9 x_(1)-x_(2)=2 to an augmented matri ...
(1 point) Convert the system
-2x_(1)+x_(2)=-1
-3x_(1)+4x_(2)=-9
x_(1)-x_(2)=2to 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 3matrix
[[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.
