Help with a linear algebra problem

[kurosaki69]

i need help with a linear equation problem. I started the problem and after a few steps i checked the problem in the solution manual and there seem to be a typo in the text so i wanted to have someone check my work if i was doing it correctly. if i made a mistake can someone please correct me and tell me what i did wrong.

Homework Statement

matrix[(1,1,1), (1,1,0), (1,0,0)]

Homework Equations

The solution in the manual had the same steps as below only the matrix was different it
was matrix [(1,1,0), (0,0,-1), (0,-1,-1)].

The Attempt at a Solution

so i first i did R2 \rightarrow R2 - R1.
Then i did R3\rightarrowR3-1.
so my new matrix was [(1,1,1), (0,0,-1), (0,-1,-1)].

 

[rocomath]

You're good so far, keep going.

 

[kurosaki69]

so is my matrix correct and there is a typo in the book?

 

[rocomath]

so is my matrix correct and there is a typo in the book?

Yes, bc R1 should not change.

 

[kurosaki69]

thanks a lot now i know the book has a few typos because i have encountered a few