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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)=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.

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